85264200 has 288 divisors, whose sum is σ = 335424960. Its totient is φ = 19008000.

The previous prime is 85264187. The next prime is 85264217. The reversal of 85264200 is 246258.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 844150 + ... + 844250.

It is an arithmetic number, because the mean of its divisors is an integer number (1164670).

Almost surely, 2^85264200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167712480).

85264200 is an abundant number, since it is smaller than the sum of its proper divisors (250160760).

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

85264200 is a wasteful number, since it uses less digits than its factorization.

85264200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85264200 is about 9233.8615974033. The cubic root of 85264200 is about 440.1380420867.

The spelling of 85264200 in words is "eighty-five million, two hundred sixty-four thousand, two hundred".