82980570 has 64 divisors (see below), whose sum is σ = 211973760. Its totient is φ = 20789504.

The previous prime is 82980517. The next prime is 82980589. The reversal of 82980570 is 7508928.

It is a Curzon number.

It is a congruent number.

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, 147109 + ... + 147671.

It is an arithmetic number, because the mean of its divisors is an integer number (3312090).

Almost surely, 2^82980570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82980570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105986880).

82980570 is an abundant number, since it is smaller than the sum of its proper divisors (128993190).

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

82980570 is a wasteful number, since it uses less digits than its factorization.

82980570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 82980570 is about 9109.3671569435. The cubic root of 82980570 is about 436.1730263231.

The spelling of 82980570 in words is "eighty-two million, nine hundred eighty thousand, five hundred seventy".