86915200 has 96 divisors (see below), whose sum is σ = 217324260. Its totient is φ = 34344960.

The previous prime is 86915189. The next prime is 86915207. The reversal of 86915200 is 251968.

It can be written as a sum of positive squares in 6 ways, for example, as 42719296 + 44195904 = 6536^2 + 6648^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (86915207) 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, 502314 + ... + 502486.

Almost surely, 2^86915200 is an apocalyptic number.

86915200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108662130).

86915200 is an abundant number, since it is smaller than the sum of its proper divisors (130409060).

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

86915200 is a wasteful number, since it uses less digits than its factorization.

86915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 86915200 is about 9322.8321876992. The cubic root of 86915200 is about 442.9607487639.

The spelling of 86915200 in words is "eighty-six million, nine hundred fifteen thousand, two hundred".