86901264 has 60 divisors (see below), whose sum is σ = 246313600. Its totient is φ = 28596672.

The previous prime is 86901259. The next prime is 86901281. The reversal of 86901264 is 46210968.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7557 + ... + 15195.

Almost surely, 2^86901264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86901264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123156800).

86901264 is an abundant number, since it is smaller than the sum of its proper divisors (159412336).

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

86901264 is a wasteful number, since it uses less digits than its factorization.

86901264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86901264 is about 9322.0847453775. The cubic root of 86901264 is about 442.9370726944.

The spelling of 86901264 in words is "eighty-six million, nine hundred one thousand, two hundred sixty-four".