85597200 has 360 divisors, whose sum is σ = 335811840. Its totient is φ = 20044800.

The previous prime is 85597163. The next prime is 85597207. The reversal of 85597200 is 279558.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (85597207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1450771 + ... + 1450829.

Almost surely, 2^85597200 is an apocalyptic number.

85597200 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 85597200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

85597200 is an abundant number, since it is smaller than the sum of its proper divisors (250214640).

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

85597200 is a wasteful number, since it uses less digits than its factorization.

85597200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

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

The square root of 85597200 is about 9251.8754855435. The cubic root of 85597200 is about 440.7102852872.

The spelling of 85597200 in words is "eighty-five million, five hundred ninety-seven thousand, two hundred".