189952800 has 72 divisors (see below), whose sum is σ = 618304176. Its totient is φ = 50653440.

The previous prime is 189952793. The next prime is 189952811. The reversal of 189952800 is 8259981.

It is a happy number.

189952800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37174 + ... + 41973.

It is an arithmetic number, because the mean of its divisors is an integer number (8587558).

Almost surely, 2^189952800 is an apocalyptic number.

189952800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189952800 is an abundant number, since it is smaller than the sum of its proper divisors (428351376).

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

189952800 is a wasteful number, since it uses less digits than its factorization.

189952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79170 (or 79157 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 189952800 is about 13782.3365217948. The cubic root of 189952800 is about 574.8420990498.

The spelling of 189952800 in words is "one hundred eighty-nine million, nine hundred fifty-two thousand, eight hundred".