82992456 has 144 divisors (see below), whose sum is σ = 247253760. Its totient is φ = 25116480.

The previous prime is 82992439. The next prime is 82992463. The reversal of 82992456 is 65429928.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 805701 + ... + 805803.

It is an arithmetic number, because the mean of its divisors is an integer number (1717040).

Almost surely, 2^82992456 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 82992456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123626880).

82992456 is an abundant number, since it is smaller than the sum of its proper divisors (164261304).

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

82992456 is a wasteful number, since it uses less digits than its factorization.

82992456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 82992456 is about 9110.0195389472. The cubic root of 82992456 is about 436.1938508972.

The spelling of 82992456 in words is "eighty-two million, nine hundred ninety-two thousand, four hundred fifty-six".