85680400 has 60 divisors (see below), whose sum is σ = 221695012. Its totient is φ = 31633920.

The previous prime is 85680379. The next prime is 85680407. The reversal of 85680400 is 408658.

It can be written as a sum of positive squares in 6 ways, for example, as 14379264 + 71301136 = 3792^2 + 8444^2 .

It is a super-2 number, since 2×85680400² = 14682261888320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85680407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3039 + ... + 13438.

Almost surely, 2^85680400 is an apocalyptic number.

85680400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85680400 is an abundant number, since it is smaller than the sum of its proper divisors (136014612).

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

85680400 is a wasteful number, since it uses less digits than its factorization.

85680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16508 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 85680400 is about 9256.3707790905. The cubic root of 85680400 is about 440.8530283601.

The spelling of 85680400 in words is "eighty-five million, six hundred eighty thousand, four hundred".