383616 has 80 divisors (see below), whose sum is σ = 1172490. Its totient is φ = 124416.

The previous prime is 383611. The next prime is 383623. The reversal of 383616 is 616383.

383616 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 129600 = 504^2 + 360^2 .

It is a super-2 number, since 2×383616² = 294322470912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 383616.

It is not an unprimeable number, because it can be changed into a prime (383611) by changing a digit.

383616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10350 + ... + 10386.

2³⁸³⁶¹⁶ is an apocalyptic number.

383616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586245).

383616 is an abundant number, since it is smaller than the sum of its proper divisors (788874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383616 is an equidigital number, since it uses as much as digits as its factorization.

383616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 383616 is about 619.3674192271. The cubic root of 383616 is about 72.6605873581.

Adding to 383616 its reverse (616383), we get a palindrome (999999).

It can be divided in two parts, 383 and 616, that added together give a palindrome (999).

The spelling of 383616 in words is "three hundred eighty-three thousand, six hundred sixteen".