82936980 has 192 divisors, whose sum is σ = 303367680. Its totient is φ = 18413568.

The previous prime is 82936967. The next prime is 82937009. The reversal of 82936980 is 8963928.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139564 + ... + 140156.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 2^82936980 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 82936980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

82936980 is an abundant number, since it is smaller than the sum of its proper divisors (220430700).

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

82936980 is a wasteful number, since it uses less digits than its factorization.

82936980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 82936980 is about 9106.9742505401. The cubic root of 82936980 is about 436.0966385119.

The spelling of 82936980 in words is "eighty-two million, nine hundred thirty-six thousand, nine hundred eighty".