86956000 has 48 divisors (see below), whose sum is σ = 213660720. Its totient is φ = 34780800.

The previous prime is 86955991. The next prime is 86956013. The reversal of 86956000 is 65968.

It is a super-2 number, since 2×86956000² = 15122691872000000, 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 7 ways as a sum of consecutive naturals, for example, 6870 + ... + 14869.

It is an arithmetic number, because the mean of its divisors is an integer number (4451265).

Almost surely, 2^86956000 is an apocalyptic number.

86956000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86956000 is an abundant number, since it is smaller than the sum of its proper divisors (126704720).

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

86956000 is a wasteful number, since it uses less digits than its factorization.

86956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21764 (or 21746 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 86956000 is about 9325.0201072169. The cubic root of 86956000 is about 443.0300499194.

The spelling of 86956000 in words is "eighty-six million, nine hundred fifty-six thousand".