85586920 has 32 divisors (see below), whose sum is σ = 197778600. Its totient is φ = 33308928.

The previous prime is 85586903. The next prime is 85586927. The reversal of 85586920 is 2968558.

It can be written as a sum of positive squares in 4 ways, for example, as 81252196 + 4334724 = 9014^2 + 2082^2 .

It is not an unprimeable number, because it can be changed into a prime (85586927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27435 + ... + 30394.

Almost surely, 2^85586920 is an apocalyptic number.

It is an amenable number.

85586920 is an abundant number, since it is smaller than the sum of its proper divisors (112191680).

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

85586920 is a wasteful number, since it uses less digits than its factorization.

85586920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57877 (or 57873 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 85586920 is about 9251.3199058297. The cubic root of 85586920 is about 440.6926418631.

The spelling of 85586920 in words is "eighty-five million, five hundred eighty-six thousand, nine hundred twenty".