87952368 has 160 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 22733568.

The previous prime is 87952343. The next prime is 87952379. The reversal of 87952368 is 86325978.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146533 + ... + 147131.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^87952368 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 87952368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

87952368 is an abundant number, since it is smaller than the sum of its proper divisors (197743632).

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

87952368 is a wasteful number, since it uses less digits than its factorization.

87952368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 87952368 is about 9378.2923818785. The cubic root of 87952368 is about 444.7157516455.

The spelling of 87952368 in words is "eighty-seven million, nine hundred fifty-two thousand, three hundred sixty-eight".