86956200 has 96 divisors (see below), whose sum is σ = 299534400. Its totient is φ = 23186880.

The previous prime is 86956183. The next prime is 86956249. The reversal of 86956200 is 265968.

It is a super-2 number, since 2×86956200² = 15122761436880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2652 + ... + 13451.

It is an arithmetic number, because the mean of its divisors is an integer number (3120150).

Almost surely, 2^86956200 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 86956200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149767200).

86956200 is an abundant number, since it is smaller than the sum of its proper divisors (212578200).

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

86956200 is a wasteful number, since it uses less digits than its factorization.

86956200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16128 (or 16113 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86956200 is about 9325.0308310482. The cubic root of 86956200 is about 443.0303895775.

The spelling of 86956200 in words is "eighty-six million, nine hundred fifty-six thousand, two hundred".