85684800 has 84 divisors (see below), whose sum is σ = 281133296. Its totient is φ = 22848000.

The previous prime is 85684789. The next prime is 85684829. The reversal of 85684800 is 848658.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4126 + ... + 13725.

Almost surely, 2^85684800 is an apocalyptic number.

85684800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85684800 is an abundant number, since it is smaller than the sum of its proper divisors (195448496).

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

85684800 is a wasteful number, since it uses less digits than its factorization.

85684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17876 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 85684800 is about 9256.6084501830. The cubic root of 85684800 is about 440.8605746994.

The spelling of 85684800 in words is "eighty-five million, six hundred eighty-four thousand, eight hundred".