82919920 has 20 divisors (see below), whose sum is σ = 192789000. Its totient is φ = 33167936.

The previous prime is 82919911. The next prime is 82919927. The reversal of 82919920 is 2991928.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82919927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518170 + ... + 518329.

It is an arithmetic number, because the mean of its divisors is an integer number (9639450).

Almost surely, 2^82919920 is an apocalyptic number.

82919920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82919920 is an abundant number, since it is smaller than the sum of its proper divisors (109869080).

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

82919920 is a wasteful number, since it uses less digits than its factorization.

82919920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036512 (or 1036506 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 82919920 is about 9106.0375575768. The cubic root of 82919920 is about 436.0667350084.

The spelling of 82919920 in words is "eighty-two million, nine hundred nineteen thousand, nine hundred twenty".