86341264 has 45 divisors (see below), whose sum is σ = 176624329. Its totient is φ = 40884800.

The previous prime is 86341247. The next prime is 86341267. The reversal of 86341264 is 46214368.

The square root of 86341264 is 9292.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82955664 + 3385600 = 9108^2 + 1840^2 .

It is a Duffinian number.

Its product of digits (27648) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (86341267) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 854814 + ... + 854914.

Almost surely, 2^86341264 is an apocalyptic number.

86341264 is the 9292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86341264

86341264 is an abundant number, since it is smaller than the sum of its proper divisors (90283065).

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

86341264 is a wasteful number, since it uses less digits than its factorization.

86341264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 126 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The cubic root of 86341264 is about 441.9835787597.

The spelling of 86341264 in words is "eighty-six million, three hundred forty-one thousand, two hundred sixty-four".