85992100 has 36 divisors (see below), whose sum is σ = 196428400. Its totient is φ = 32585760.

The previous prime is 85992091. The next prime is 85992113. The reversal of 85992100 is 129958.

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, 20730 + ... + 24529.

Almost surely, 2^85992100 is an apocalyptic number.

It is an amenable number.

85992100 is an abundant number, since it is smaller than the sum of its proper divisors (110436300).

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

85992100 is a wasteful number, since it uses less digits than its factorization.

85992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45292 (or 45285 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 85992100 is about 9273.1925462594. The cubic root of 85992100 is about 441.3869800787.

The spelling of 85992100 in words is "eighty-five million, nine hundred ninety-two thousand, one hundred".