85397600 has 36 divisors (see below), whose sum is σ = 208478844. Its totient is φ = 34158720.

The previous prime is 85397573. The next prime is 85397617. The reversal of 85397600 is 679358.

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, 52574 + ... + 54173.

It is an arithmetic number, because the mean of its divisors is an integer number (5791079).

Almost surely, 2^85397600 is an apocalyptic number.

85397600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85397600 is an abundant number, since it is smaller than the sum of its proper divisors (123081244).

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

85397600 is a wasteful number, since it uses less digits than its factorization.

85397600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106767 (or 106754 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 85397600 is about 9241.0821877094. The cubic root of 85397600 is about 440.3674616277.

The spelling of 85397600 in words is "eighty-five million, three hundred ninety-seven thousand, six hundred".