85525600 has 36 divisors (see below), whose sum is σ = 208791324. Its totient is φ = 34209920.

The previous prime is 85525547. The next prime is 85525619. The reversal of 85525600 is 652558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52654 + ... + 54253.

It is an arithmetic number, because the mean of its divisors is an integer number (5799759).

Almost surely, 2^85525600 is an apocalyptic number.

85525600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85525600 is an abundant number, since it is smaller than the sum of its proper divisors (123265724).

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

85525600 is a wasteful number, since it uses less digits than its factorization.

85525600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106927 (or 106914 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 85525600 is about 9248.0051903100. The cubic root of 85525600 is about 440.5873698226.

The spelling of 85525600 in words is "eighty-five million, five hundred twenty-five thousand, six hundred".