82920420 has 72 divisors (see below), whose sum is σ = 274397760. Its totient is φ = 20101440.

The previous prime is 82920419. The next prime is 82920421. The reversal of 82920420 is 2402928.

It is an interprime number because it is at equal distance from previous prime (82920419) and next prime (82920421).

It is not an unprimeable number, because it can be changed into a prime (82920421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18960 + ... + 22919.

It is an arithmetic number, because the mean of its divisors is an integer number (3811080).

Almost surely, 2^82920420 is an apocalyptic number.

It is an amenable number.

82920420 is an abundant number, since it is smaller than the sum of its proper divisors (191477340).

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

82920420 is a wasteful number, since it uses less digits than its factorization.

82920420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41905 (or 41900 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82920420 is about 9106.0650118479. The cubic root of 82920420 is about 436.0676114883.

The spelling of 82920420 in words is "eighty-two million, nine hundred twenty thousand, four hundred twenty".