82630656 has 72 divisors (see below), whose sum is σ = 238705740. Its totient is φ = 27537408.

The previous prime is 82630637. The next prime is 82630699. The reversal of 82630656 is 65603628.

It is a tau number, because it is divible by the number of its divisors (72).

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 82630656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16191 + ... + 20673.

Almost surely, 2^82630656 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 82630656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119352870).

82630656 is an abundant number, since it is smaller than the sum of its proper divisors (156075084).

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

82630656 is a wasteful number, since it uses less digits than its factorization.

82630656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 82630656 is about 9090.1405929721. The cubic root of 82630656 is about 435.5590750483.

The spelling of 82630656 in words is "eighty-two million, six hundred thirty thousand, six hundred fifty-six".