85288800 has 72 divisors (see below), whose sum is σ = 277622856. Its totient is φ = 22743040.

The previous prime is 85288799. The next prime is 85288831. The reversal of 85288800 is 888258.

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, 15369 + ... + 20168.

It is an arithmetic number, because the mean of its divisors is an integer number (3855873).

Almost surely, 2^85288800 is an apocalyptic number.

85288800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85288800 is an abundant number, since it is smaller than the sum of its proper divisors (192334056).

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

85288800 is a wasteful number, since it uses less digits than its factorization.

85288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35560 (or 35547 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 85288800 is about 9235.1935550913. The cubic root of 85288800 is about 440.1803668244.

The spelling of 85288800 in words is "eighty-five million, two hundred eighty-eight thousand, eight hundred".