82612992 has 216 divisors, whose sum is σ = 278376448. Its totient is φ = 21288960.

The previous prime is 82612963. The next prime is 82612993. The reversal of 82612992 is 29921628.

It is a self number, because there is not a number n which added to its sum of digits gives 82612992.

It is not an unprimeable number, because it can be changed into a prime (82612993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650433 + ... + 650559.

Almost surely, 2^82612992 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 82612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139188224).

82612992 is an abundant number, since it is smaller than the sum of its proper divisors (195763456).

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

82612992 is a wasteful number, since it uses less digits than its factorization.

82612992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 82612992 is about 9089.1689389075. The cubic root of 82612992 is about 435.5280362702.

The spelling of 82612992 in words is "eighty-two million, six hundred twelve thousand, nine hundred ninety-two".