85396800 has 84 divisors (see below), whose sum is σ = 280188416. Its totient is φ = 22771200.

The previous prime is 85396789. The next prime is 85396819. The reversal of 85396800 is 869358.

It is a super-2 number, since 2×85396800² = 14585226900480000, which contains 22 as substring.

It is a congruent number.

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, 4096 + ... + 13695.

Almost surely, 2^85396800 is an apocalyptic number.

85396800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85396800 is an abundant number, since it is smaller than the sum of its proper divisors (194791616).

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

85396800 is a wasteful number, since it uses less digits than its factorization.

85396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17816 (or 17801 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 85396800 is about 9241.0389026343. The cubic root of 85396800 is about 440.3660865107.

The spelling of 85396800 in words is "eighty-five million, three hundred ninety-six thousand, eight hundred".