84975200 has 36 divisors (see below), whose sum is σ = 207447660. Its totient is φ = 33989760.

The previous prime is 84975173. The next prime is 84975223. The reversal of 84975200 is 257948.

It is a happy number.

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, 52310 + ... + 53909.

It is an arithmetic number, because the mean of its divisors is an integer number (5762435).

Almost surely, 2^84975200 is an apocalyptic number.

84975200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84975200 is an abundant number, since it is smaller than the sum of its proper divisors (122472460).

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

84975200 is a wasteful number, since it uses less digits than its factorization.

84975200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106239 (or 106226 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 84975200 is about 9218.1993903365. The cubic root of 84975200 is about 439.6402017325.

The spelling of 84975200 in words is "eighty-four million, nine hundred seventy-five thousand, two hundred".