86706900 has 108 divisors (see below), whose sum is σ = 310625952. Its totient is φ = 19817280.

The previous prime is 86706883. The next prime is 86706913. The reversal of 86706900 is 960768.

It is a super-2 number, since 2×86706900² = 15036173015220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582 + ... + 13181.

Almost surely, 2^86706900 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 86706900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155312976).

86706900 is an abundant number, since it is smaller than the sum of its proper divisors (223919052).

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

86706900 is a wasteful number, since it uses less digits than its factorization.

86706900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13790 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 86706900 is about 9311.6539884169. The cubic root of 86706900 is about 442.6066007655.

The spelling of 86706900 in words is "eighty-six million, seven hundred six thousand, nine hundred".