82997040 has 160 divisors (see below), whose sum is σ = 297123840. Its totient is φ = 18772992.

The previous prime is 82997021. The next prime is 82997051. The reversal of 82997040 is 4079928.

It is a self number, because there is not a number n which added to its sum of digits gives 82997040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213166 + ... + 213554.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 2^82997040 is an apocalyptic number.

82997040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148561920).

82997040 is an abundant number, since it is smaller than the sum of its proper divisors (214126800).

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

82997040 is a wasteful number, since it uses less digits than its factorization.

82997040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 82997040 is about 9110.2711265911. The cubic root of 82997040 is about 436.2018816504.

The spelling of 82997040 in words is "eighty-two million, nine hundred ninety-seven thousand, forty".