86606900 has 36 divisors (see below), whose sum is σ = 191946048. Its totient is φ = 33903840.

The previous prime is 86606893. The next prime is 86606903. The reversal of 86606900 is 960668.

86606900 = 280² + 281² + ... + 655².

It is a super-2 number, since 2×86606900² = 15001510255220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86606903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4514 + ... + 13913.

Almost surely, 2^86606900 is an apocalyptic number.

It is an amenable number.

86606900 is an abundant number, since it is smaller than the sum of its proper divisors (105339148).

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

86606900 is a wasteful number, since it uses less digits than its factorization.

86606900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18488 (or 18481 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 86606900 is about 9306.2828239851. The cubic root of 86606900 is about 442.4363809929.

The spelling of 86606900 in words is "eighty-six million, six hundred six thousand, nine hundred".