85576100 has 72 divisors (see below), whose sum is σ = 200612160. Its totient is φ = 31588480.

The previous prime is 85576097. The next prime is 85576111. The reversal of 85576100 is 167558.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66059 + ... + 67341.

It is an arithmetic number, because the mean of its divisors is an integer number (2786280).

Almost surely, 2^85576100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85576100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100306080).

85576100 is an abundant number, since it is smaller than the sum of its proper divisors (115036060).

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

85576100 is a wasteful number, since it uses less digits than its factorization.

85576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 85576100 is about 9250.7351059254. The cubic root of 85576100 is about 440.6740701182.

The spelling of 85576100 in words is "eighty-five million, five hundred seventy-six thousand, one hundred".