82732464 has 60 divisors (see below), whose sum is σ = 233962456. Its totient is φ = 27288576.

The previous prime is 82732451. The next prime is 82732469. The reversal of 82732464 is 46423728.

It is a super-2 number, since 2×82732464² = 13689321199022592, which contains 22 as substring.

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 (82732469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11007 + ... + 16929.

Almost surely, 2^82732464 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 82732464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116981228).

82732464 is an abundant number, since it is smaller than the sum of its proper divisors (151229992).

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

82732464 is a wasteful number, since it uses less digits than its factorization.

82732464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6025 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 82732464 is about 9095.7387825289. The cubic root of 82732464 is about 435.7378835814.

The spelling of 82732464 in words is "eighty-two million, seven hundred thirty-two thousand, four hundred sixty-four".