85539600 has 90 divisors (see below), whose sum is σ = 296858666. Its totient is φ = 22809600.

The previous prime is 85539521. The next prime is 85539613. The reversal of 85539600 is 693558.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 79067664 = 2544^2 + 8892^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 8281 + ... + 15480.

Almost surely, 2^85539600 is an apocalyptic number.

85539600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85539600 is an abundant number, since it is smaller than the sum of its proper divisors (211319066).

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

85539600 is a wasteful number, since it uses less digits than its factorization.

85539600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23785 (or 23771 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 85539600 is about 9248.7620793272. The cubic root of 85539600 is about 440.6114089666.

The spelling of 85539600 in words is "eighty-five million, five hundred thirty-nine thousand, six hundred".