85525504 has 55 divisors (see below), whose sum is σ = 181652827. Its totient is φ = 40247296.

The previous prime is 85525471. The next prime is 85525507. The reversal of 85525504 is 40552558.

The square root of 85525504 is 9248.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 26543104 + 58982400 = 5152^2 + 7680^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=68.

It is a super-2 number, since 2×85525504² = 14629223668908032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85525504.

It is not an unprimeable number, because it can be changed into a prime (85525507) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 5030904 + ... + 5030920.

Almost surely, 2^85525504 is an apocalyptic number.

85525504 is the 9248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85525504

85525504 is an abundant number, since it is smaller than the sum of its proper divisors (96127323).

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

85525504 is an frugal number, since it uses more digits than its factorization.

85525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The cubic root of 85525504 is about 440.5872049737.

85525504 divided by its sum of digits (34) gives a cube (2515456 = 136³).

Multiplying 85525504 by its product of nonzero digits (40000), we get a 4-th power (3421020160000 = 1360⁴).

The spelling of 85525504 in words is "eighty-five million, five hundred twenty-five thousand, five hundred four".