82612656 has 160 divisors (see below), whose sum is σ = 287124480. Its totient is φ = 22201344.

The previous prime is 82612633. The next prime is 82612679. The reversal of 82612656 is 65621628.

It is an interprime number because it is at equal distance from previous prime (82612633) and next prime (82612679).

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 82612656.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50605 + ... + 52211.

It is an arithmetic number, because the mean of its divisors is an integer number (1794528).

Almost surely, 2^82612656 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 82612656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143562240).

82612656 is an abundant number, since it is smaller than the sum of its proper divisors (204511824).

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

82612656 is a wasteful number, since it uses less digits than its factorization.

82612656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1636 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 82612656 is about 9089.1504553506. The cubic root of 82612656 is about 435.5274458157.

The spelling of 82612656 in words is "eighty-two million, six hundred twelve thousand, six hundred fifty-six".