86866560 has 256 divisors, whose sum is σ = 336355200. Its totient is φ = 21012480.

The previous prime is 86866531. The next prime is 86866573. The reversal of 86866560 is 6566868.

86866560 is a `hidden beast` number, since 8 + 6 + 86 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189852 + ... + 190308.

Almost surely, 2^86866560 is an apocalyptic number.

86866560 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 86866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168177600).

86866560 is an abundant number, since it is smaller than the sum of its proper divisors (249488640).

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

86866560 is a wasteful number, since it uses less digits than its factorization.

86866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 86866560 is about 9320.2231732937. The cubic root of 86866560 is about 442.8781025708.

The spelling of 86866560 in words is "eighty-six million, eight hundred sixty-six thousand, five hundred sixty".