6976920 has 64 divisors (see below), whose sum is σ = 21345120. Its totient is φ = 1823744.

The previous prime is 6976903. The next prime is 6976939. The reversal of 6976920 is 296796.

6976920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5812 + ... + 6908.

Almost surely, 2^6976920 is an apocalyptic number.

6976920 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 6976920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10672560).

6976920 is an abundant number, since it is smaller than the sum of its proper divisors (14368200).

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

6976920 is a wasteful number, since it uses less digits than its factorization.

6976920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 6976920 is about 2641.3859998115. The cubic root of 6976920 is about 191.0826465428.

The spelling of 6976920 in words is "six million, nine hundred seventy-six thousand, nine hundred twenty".