85599600 has 60 divisors (see below), whose sum is σ = 274207896. Its totient is φ = 22826240.

The previous prime is 85599593. The next prime is 85599623. The reversal of 85599600 is 699558.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 34467 + ... + 36866.

Almost surely, 2^85599600 is an apocalyptic number.

85599600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85599600 is an abundant number, since it is smaller than the sum of its proper divisors (188608296).

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

85599600 is a wasteful number, since it uses less digits than its factorization.

85599600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71354 (or 71343 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 85599600 is about 9252.0051880660. The cubic root of 85599600 is about 440.7144041712.

Subtracting from 85599600 its sum of digits (42), we obtain a palindrome (85599558).

The spelling of 85599600 in words is "eighty-five million, five hundred ninety-nine thousand, six hundred".