85706900 has 18 divisors (see below), whose sum is σ = 185984190. Its totient is φ = 34282720.

The previous prime is 85706813. The next prime is 85706917. The reversal of 85706900 is 960758.

It can be written as a sum of positive squares in 3 ways, for example, as 27520516 + 58186384 = 5246^2 + 7628^2 .

It is a super-2 number, since 2×85706900² = 14691345415220000, which contains 22 as substring.

It is a congruent number.

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, 428435 + ... + 428634.

It is an arithmetic number, because the mean of its divisors is an integer number (10332455).

Almost surely, 2^85706900 is an apocalyptic number.

It is an amenable number.

85706900 is an abundant number, since it is smaller than the sum of its proper divisors (100277290).

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

85706900 is a wasteful number, since it uses less digits than its factorization.

85706900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857083 (or 857076 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 85706900 is about 9257.8021149731. The cubic root of 85706900 is about 440.8984739969.

The spelling of 85706900 in words is "eighty-five million, seven hundred six thousand, nine hundred".