88515952 has 60 divisors (see below), whose sum is σ = 201586800. Its totient is φ = 37636704.

The previous prime is 88515949. The next prime is 88515961. The reversal of 88515952 is 25951588.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 88515899 and 88515908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696913 + ... + 697039.

It is an arithmetic number, because the mean of its divisors is an integer number (3359780).

Almost surely, 2^88515952 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 88515952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100793400).

88515952 is an abundant number, since it is smaller than the sum of its proper divisors (113070848).

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

88515952 is an equidigital number, since it uses as much as digits as its factorization.

88515952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 136 counting only the distinct ones).

The product of its digits is 144000, while the sum is 43.

The square root of 88515952 is about 9408.2916621457. The cubic root of 88515952 is about 445.6636178746.

The spelling of 88515952 in words is "eighty-eight million, five hundred fifteen thousand, nine hundred fifty-two".