6872976 has 60 divisors (see below), whose sum is σ = 20988240. Its totient is φ = 2082240.

The previous prime is 6872963. The next prime is 6873001. The reversal of 6872976 is 6792786.

It is a happy number.

6872976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (349804).

Almost surely, 2^6872976 is an apocalyptic number.

6872976 is a gapful number since it is divisible by the number (66) 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 6872976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

6872976 is an abundant number, since it is smaller than the sum of its proper divisors (14115264).

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

6872976 is a wasteful number, since it uses less digits than its factorization.

6872976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4355 counting only the distinct ones).

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

The square root of 6872976 is about 2621.6361303583. The cubic root of 6872976 is about 190.1289613865.

It can be divided in two parts, 687 and 2976, that added together give a palindrome (3663).

The spelling of 6872976 in words is "six million, eight hundred seventy-two thousand, nine hundred seventy-six".