6976872 has 96 divisors (see below), whose sum is σ = 21964800. Its totient is φ = 1959552.

The previous prime is 6976861. The next prime is 6976873. The reversal of 6976872 is 2786796.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6976873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54873 + ... + 54999.

It is an arithmetic number, because the mean of its divisors is an integer number (228800).

Almost surely, 2^6976872 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 6976872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982400).

6976872 is an abundant number, since it is smaller than the sum of its proper divisors (14987928).

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

6976872 is a wasteful number, since it uses less digits than its factorization.

6976872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 6976872 is about 2641.3769136570. The cubic root of 6976872 is about 191.0822083367.

It can be divided in two parts, 697 and 6872, that added together give a square (7569 = 87²).

The spelling of 6976872 in words is "six million, nine hundred seventy-six thousand, eight hundred seventy-two".