88416 has 36 divisors (see below), whose sum is σ = 252252. Its totient is φ = 29376.

The previous prime is 88411. The next prime is 88423. The reversal of 88416 is 61488.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×88416⁴ (a number of 21 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 88416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88411) by changing a digit.

88416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (7007).

2⁸⁸⁴¹⁶ 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 88416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126126).

88416 is an abundant number, since it is smaller than the sum of its proper divisors (163836).

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

88416 is a wasteful number, since it uses less digits than its factorization.

88416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 88416 is about 297.3482806407. The cubic root of 88416 is about 44.5495807267.

It can be divided in two parts, 884 and 16, that added together give a square (900 = 30²).

The spelling of 88416 in words is "eighty-eight thousand, four hundred sixteen".