88516512 has 216 divisors, whose sum is σ = 304353504. Its totient is φ = 23899392.

The previous prime is 88516511. The next prime is 88516529. The reversal of 88516512 is 21561588.

It is a super-2 number, since 2×88516512² = 15670345793292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88516511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1066423 + ... + 1066505.

It is an arithmetic number, because the mean of its divisors is an integer number (1409044).

Almost surely, 2^88516512 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 88516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152176752).

88516512 is an abundant number, since it is smaller than the sum of its proper divisors (215836992).

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

88516512 is a wasteful number, since it uses less digits than its factorization.

88516512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 118 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 88516512 is about 9408.3214230807. The cubic root of 88516512 is about 445.6645577093.

The spelling of 88516512 in words is "eighty-eight million, five hundred sixteen thousand, five hundred twelve".