85670800 has 30 divisors (see below), whose sum is σ = 205825058. Its totient is φ = 34268160.

The previous prime is 85670797. The next prime is 85670821. The reversal of 85670800 is 807658.

It can be written as a sum of positive squares in 3 ways, for example, as 17707264 + 67963536 = 4208^2 + 8244^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106689 + ... + 107488.

Almost surely, 2^85670800 is an apocalyptic number.

85670800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85670800 is an abundant number, since it is smaller than the sum of its proper divisors (120154258).

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

85670800 is a wasteful number, since it uses less digits than its factorization.

85670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214195 (or 214184 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 85670800 is about 9255.8522027958. The cubic root of 85670800 is about 440.8365627229.

The spelling of 85670800 in words is "eighty-five million, six hundred seventy thousand, eight hundred".