85625792 has 56 divisors (see below), whose sum is σ = 195803520. Its totient is φ = 36391680.

The previous prime is 85625783. The next prime is 85625819. The reversal of 85625792 is 29752658.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 57959 + ... + 59417.

Almost surely, 2^85625792 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 85625792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97901760).

85625792 is an abundant number, since it is smaller than the sum of its proper divisors (110177728).

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

85625792 is a wasteful number, since it uses less digits than its factorization.

85625792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1599 counting only the distinct ones).

The product of its digits is 302400, while the sum is 44.

The square root of 85625792 is about 9253.4205567455. The cubic root of 85625792 is about 440.7593499206.

The spelling of 85625792 in words is "eighty-five million, six hundred twenty-five thousand, seven hundred ninety-two".