85914800 has 30 divisors (see below), whose sum is σ = 206411268. Its totient is φ = 34365760.

The previous prime is 85914799. The next prime is 85914811. The reversal of 85914800 is 841958.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106994 + ... + 107793.

Almost surely, 2^85914800 is an apocalyptic number.

85914800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85914800 is an abundant number, since it is smaller than the sum of its proper divisors (120496468).

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

85914800 is a wasteful number, since it uses less digits than its factorization.

85914800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214805 (or 214794 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 85914800 is about 9269.0236810572. The cubic root of 85914800 is about 441.2546832664.

The spelling of 85914800 in words is "eighty-five million, nine hundred fourteen thousand, eight hundred".