85599504 has 75 divisors (see below), whose sum is σ = 248717557. Its totient is φ = 28422144.

The previous prime is 85599499. The next prime is 85599511. The reversal of 85599504 is 40599558.

The square root of 85599504 is 9252.

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

85599504 is a `hidden beast` number, since 8 + 5 + 599 + 50 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84272400 + 1327104 = 9180^2 + 1152^2 .

It is a super-3 number, since 3×85599504³ (a number of 25 digits) contains 333 as substring.

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 85599504.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 332944 + ... + 333200.

Almost surely, 2^85599504 is an apocalyptic number.

85599504 is the 9252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85599504

85599504 is an abundant number, since it is smaller than the sum of its proper divisors (163118053).

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

85599504 is an equidigital number, since it uses as much as digits as its factorization.

85599504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The cubic root of 85599504 is about 440.7142394173.

The spelling of 85599504 in words is "eighty-five million, five hundred ninety-nine thousand, five hundred four".