82920192 has 72 divisors (see below), whose sum is σ = 223082160. Its totient is φ = 27340800.

The previous prime is 82920181. The next prime is 82920197. The reversal of 82920192 is 29102928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82920197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77034 + ... + 78102.

Almost surely, 2^82920192 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 82920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541080).

82920192 is an abundant number, since it is smaller than the sum of its proper divisors (140161968).

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

82920192 is a wasteful number, since it uses less digits than its factorization.

82920192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 82920192 is about 9106.0524927105. The cubic root of 82920192 is about 436.0672118139.

The spelling of 82920192 in words is "eighty-two million, nine hundred twenty thousand, one hundred ninety-two".