85556000 has 96 divisors (see below), whose sum is σ = 213817968. Its totient is φ = 33638400.

The previous prime is 85555997. The next prime is 85556039. The reversal of 85556000 is 65558.

It can be written as a sum of positive squares in 8 ways, for example, as 18905104 + 66650896 = 4348^2 + 8164^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291854 + ... + 292146.

Almost surely, 2^85556000 is an apocalyptic number.

85556000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106908984).

85556000 is an abundant number, since it is smaller than the sum of its proper divisors (128261968).

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

85556000 is a wasteful number, since it uses less digits than its factorization.

85556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 85556000 is about 9249.6486419755. The cubic root of 85556000 is about 440.6395657710.

The spelling of 85556000 in words is "eighty-five million, five hundred fifty-six thousand".