88013688 has 64 divisors (see below), whose sum is σ = 253344000. Its totient is φ = 24959232.

The previous prime is 88013687. The next prime is 88013693. The reversal of 88013688 is 88631088.

It is a happy number.

It is a super-2 number, since 2×88013688² = 15492818550722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88013687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21468 + ... + 25236.

It is an arithmetic number, because the mean of its divisors is an integer number (3958500).

Almost surely, 2^88013688 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 88013688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126672000).

88013688 is an abundant number, since it is smaller than the sum of its proper divisors (165330312).

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

88013688 is a wasteful number, since it uses less digits than its factorization.

88013688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 88013688 is about 9381.5610641300. The cubic root of 88013688 is about 444.8190789178.

The spelling of 88013688 in words is "eighty-eight million, thirteen thousand, six hundred eighty-eight".