86956960 has 48 divisors (see below), whose sum is σ = 207508392. Its totient is φ = 34432000.

The previous prime is 86956949. The next prime is 86956963. The reversal of 86956960 is 6965968.

It can be written as a sum of positive squares in 4 ways, for example, as 81216144 + 5740816 = 9012^2 + 2396^2 .

It is not an unprimeable number, because it can be changed into a prime (86956963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13470 + ... + 18850.

Almost surely, 2^86956960 is an apocalyptic number.

86956960 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 86956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103754196).

86956960 is an abundant number, since it is smaller than the sum of its proper divisors (120551432).

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

86956960 is a wasteful number, since it uses less digits than its factorization.

86956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The square root of 86956960 is about 9325.0715814947. The cubic root of 86956960 is about 443.0316802738.

The spelling of 86956960 in words is "eighty-six million, nine hundred fifty-six thousand, nine hundred sixty".