86376960 has 240 divisors, whose sum is σ = 314069184. Its totient is φ = 21897216.

The previous prime is 86376923. The next prime is 86376971. The reversal of 86376960 is 6967368.

86376960 is a `hidden beast` number, since 8 + 637 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×86376960³ (a number of 25 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 529839 + ... + 530001.

Almost surely, 2^86376960 is an apocalyptic number.

86376960 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 86376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034592).

86376960 is an abundant number, since it is smaller than the sum of its proper divisors (227692224).

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

86376960 is a wasteful number, since it uses less digits than its factorization.

86376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 86376960 is about 9293.9205935924. The cubic root of 86376960 is about 442.0444800073.

The spelling of 86376960 in words is "eighty-six million, three hundred seventy-six thousand, nine hundred sixty".