82920680 has 32 divisors (see below), whose sum is σ = 186834600. Its totient is φ = 33121536.

The previous prime is 82920659. The next prime is 82920683. The reversal of 82920680 is 8602928.

It can be written as a sum of positive squares in 4 ways, for example, as 30184036 + 52736644 = 5494^2 + 7262^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82920680.

It is not an unprimeable number, because it can be changed into a prime (82920683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47666 + ... + 49374.

Almost surely, 2^82920680 is an apocalyptic number.

It is an amenable number.

82920680 is an abundant number, since it is smaller than the sum of its proper divisors (103913920).

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

82920680 is a wasteful number, since it uses less digits than its factorization.

82920680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 82920680 is about 9106.0792880361. The cubic root of 82920680 is about 436.0680672564.

The spelling of 82920680 in words is "eighty-two million, nine hundred twenty thousand, six hundred eighty".