82581264 has 30 divisors (see below), whose sum is σ = 231113246. Its totient is φ = 27527040.

The previous prime is 82581263. The next prime is 82581269. The reversal of 82581264 is 46218528.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 15210000 = 8208^2 + 3900^2 .

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

It is not an unprimeable number, because it can be changed into a prime (82581263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286597 + ... + 286884.

Almost surely, 2^82581264 is an apocalyptic number.

It is an amenable number.

82581264 is an abundant number, since it is smaller than the sum of its proper divisors (148531982).

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

82581264 is a wasteful number, since it uses less digits than its factorization.

82581264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573495 (or 573486 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 82581264 is about 9087.4233972012. The cubic root of 82581264 is about 435.4722734392.

The spelling of 82581264 in words is "eighty-two million, five hundred eighty-one thousand, two hundred sixty-four".