383680 has 56 divisors (see below), whose sum is σ = 1005840. Its totient is φ = 138240.

The previous prime is 383659. The next prime is 383681. The reversal of 383680 is 86383.

383680 = 55² + 56² + ... + 109².

It is not an unprimeable number, because it can be changed into a prime (383681) by changing a digit.

383680 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 7 ways as a sum of consecutive naturals, for example, 3466 + ... + 3574.

2³⁸³⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502920).

383680 is an abundant number, since it is smaller than the sum of its proper divisors (622160).

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

383680 is a wasteful number, since it uses less digits than its factorization.

383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 383680 is about 619.4190826896. The cubic root of 383680 is about 72.6646278735.

It can be divided in two parts, 3836 and 80, that added together give a triangular number (3916 = T₈₈).

The spelling of 383680 in words is "three hundred eighty-three thousand, six hundred eighty".