82724656 has 80 divisors (see below), whose sum is σ = 189416448. Its totient is φ = 34272000.

The previous prime is 82724641. The next prime is 82724659. The reversal of 82724656 is 65642728.

It is not an unprimeable number, because it can be changed into a prime (82724659) 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, 803101 + ... + 803203.

Almost surely, 2^82724656 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 82724656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94708224).

82724656 is an abundant number, since it is smaller than the sum of its proper divisors (106691792).

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

82724656 is a wasteful number, since it uses less digits than its factorization.

82724656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 82724656 is about 9095.3095604273. The cubic root of 82724656 is about 435.7241753453.

The spelling of 82724656 in words is "eighty-two million, seven hundred twenty-four thousand, six hundred fifty-six".