85957200 has 300 divisors, whose sum is σ = 353494240. Its totient is φ = 19595520.

The previous prime is 85957199. The next prime is 85957213. The reversal of 85957200 is 275958.

85957200 is a `hidden beast` number, since 85 + 9 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226611 + ... + 226989.

Almost surely, 2^85957200 is an apocalyptic number.

85957200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176747120).

85957200 is an abundant number, since it is smaller than the sum of its proper divisors (267537040).

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

85957200 is a wasteful number, since it uses less digits than its factorization.

85957200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 85957200 is about 9271.3105869667. The cubic root of 85957200 is about 441.3272595151.

The spelling of 85957200 in words is "eighty-five million, nine hundred fifty-seven thousand, two hundred".