6492980 has 72 divisors (see below), whose sum is σ = 15771672. Its totient is φ = 2236416.

The previous prime is 6492961. The next prime is 6492991. The reversal of 6492980 is 892946.

6492980 = T₁ + T₂ + ... + T₃₃₈.

6492980 is a nontrivial binomial coefficient, being equal to C(340, 3).

It can be written as a sum of positive squares in 12 ways, for example, as 4787344 + 1705636 = 2188^2 + 1306^2 .

It is a congruent number.

It is an unprimeable number.

It is the 338-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57404 + ... + 57516.

It is an arithmetic number, because the mean of its divisors is an integer number (219051).

Almost surely, 2^6492980 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 6492980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885836).

6492980 is an abundant number, since it is smaller than the sum of its proper divisors (9278692).

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

6492980 is a wasteful number, since it uses less digits than its factorization.

6492980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 6492980 is about 2548.1326496083. The cubic root of 6492980 is about 186.5583484388.

The spelling of 6492980 in words is "six million, four hundred ninety-two thousand, nine hundred eighty".