85890600 has 72 divisors (see below), whose sum is σ = 288455310. Its totient is φ = 22903680.

The previous prime is 85890593. The next prime is 85890611. The reversal of 85890600 is 609858.

It can be written as a sum of positive squares in 3 ways, for example, as 54552996 + 31337604 = 7386^2 + 5598^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22059 + ... + 25658.

Almost surely, 2^85890600 is an apocalyptic number.

It is an amenable number.

85890600 is an abundant number, since it is smaller than the sum of its proper divisors (202564710).

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

85890600 is a wasteful number, since it uses less digits than its factorization.

85890600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47739 (or 47727 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85890600 is about 9267.7181657623. The cubic root of 85890600 is about 441.2132493260.

The spelling of 85890600 in words is "eighty-five million, eight hundred ninety thousand, six hundred".