87579792 has 50 divisors (see below), whose sum is σ = 253485078. Its totient is φ = 29192832.

The previous prime is 87579773. The next prime is 87579841. The reversal of 87579792 is 29797578.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 15397776 = 8496^2 + 3924^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 32493 + ... + 35084.

Almost surely, 2^87579792 is an apocalyptic number.

It is an amenable number.

87579792 is an abundant number, since it is smaller than the sum of its proper divisors (165905286).

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

87579792 is a wasteful number, since it uses less digits than its factorization.

87579792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67597 (or 67582 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The square root of 87579792 is about 9358.4075568443. The cubic root of 87579792 is about 444.0869077503.

The spelling of 87579792 in words is "eighty-seven million, five hundred seventy-nine thousand, seven hundred ninety-two".