86931264 has 112 divisors (see below), whose sum is σ = 266858496. Its totient is φ = 24460800.

The previous prime is 86931263. The next prime is 86931281. The reversal of 86931264 is 46213968.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×86931264³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86931263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94969 + ... + 95879.

Almost surely, 2^86931264 is an apocalyptic number.

86931264 is a gapful number since it is divisible by the number (84) 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 86931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133429248).

86931264 is an abundant number, since it is smaller than the sum of its proper divisors (179927232).

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

86931264 is a wasteful number, since it uses less digits than its factorization.

86931264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 86931264 is about 9323.6936886622. The cubic root of 86931264 is about 442.9880369833.

The spelling of 86931264 in words is "eighty-six million, nine hundred thirty-one thousand, two hundred sixty-four".