88085792 has 48 divisors (see below), whose sum is σ = 177380280. Its totient is φ = 43051008.

The previous prime is 88085783. The next prime is 88085813. The reversal of 88085792 is 29758088.

It can be written as a sum of positive squares in 4 ways, for example, as 78074896 + 10010896 = 8836^2 + 3164^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447038 + ... + 447234.

Almost surely, 2^88085792 is an apocalyptic number.

It is an amenable number.

88085792 is an abundant number, since it is smaller than the sum of its proper divisors (89294488).

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

88085792 is a wasteful number, since it uses less digits than its factorization.

88085792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 47.

The square root of 88085792 is about 9385.4031346554. The cubic root of 88085792 is about 444.9405163937.

The spelling of 88085792 in words is "eighty-eight million, eighty-five thousand, seven hundred ninety-two".