86956560 has 240 divisors, whose sum is σ = 313372800. Its totient is φ = 21559296.

The previous prime is 86956543. The next prime is 86956631. The reversal of 86956560 is 6565968.

86956560 is a `hidden beast` number, since 86 + 9 + 5 + 6 + 560 = 666.

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

It is a super-2 number, since 2×86956560² = 15122886654067200, which contains 22 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 47 ways as a sum of consecutive naturals, for example, 976996 + ... + 977084.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^86956560 is an apocalyptic number.

86956560 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 86956560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

86956560 is an abundant number, since it is smaller than the sum of its proper divisors (226416240).

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

86956560 is a wasteful number, since it uses less digits than its factorization.

86956560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 86956560 is about 9325.0501339135. The cubic root of 86956560 is about 443.0310009609.

The spelling of 86956560 in words is "eighty-six million, nine hundred fifty-six thousand, five hundred sixty".