6982920 has 192 divisors, whose sum is σ = 27630720. Its totient is φ = 1492992.

The previous prime is 6982919. The next prime is 6982951. The reversal of 6982920 is 292896.

It is a super-2 number, since 2×6982920² = 97522343452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42759 + ... + 42921.

It is an arithmetic number, because the mean of its divisors is an integer number (143910).

Almost surely, 2^6982920 is an apocalyptic number.

6982920 is a gapful number since it is divisible by the number (60) 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 6982920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815360).

6982920 is an abundant number, since it is smaller than the sum of its proper divisors (20647800).

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

6982920 is a wasteful number, since it uses less digits than its factorization.

6982920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6982920 is about 2642.5215230912. The cubic root of 6982920 is about 191.1374064934.

The spelling of 6982920 in words is "six million, nine hundred eighty-two thousand, nine hundred twenty".