82342656 has 270 divisors, whose sum is σ = 282691332. Its totient is φ = 23639040.

The previous prime is 82342643. The next prime is 82342681. The reversal of 82342656 is 65624328.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82342656.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4333815 + ... + 4333833.

Almost surely, 2^82342656 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 82342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141345666).

82342656 is an abundant number, since it is smaller than the sum of its proper divisors (200348676).

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

82342656 is a wasteful number, since it uses less digits than its factorization.

82342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 35 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 82342656 is about 9074.2854264124. The cubic root of 82342656 is about 435.0524550299.

The spelling of 82342656 in words is "eighty-two million, three hundred forty-two thousand, six hundred fifty-six".