6872968 has 8 divisors (see below), whose sum is σ = 12886830. Its totient is φ = 3436480.

The previous prime is 6872963. The next prime is 6873001. The reversal of 6872968 is 8692786.

It can be written as a sum of positive squares in only one way, i.e., 6853924 + 19044 = 2618^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×6872968³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6872963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 429553 + ... + 429568.

Almost surely, 2^6872968 is an apocalyptic number.

It is an amenable number.

6872968 is a deficient number, since it is larger than the sum of its proper divisors (6013862).

6872968 is a wasteful number, since it uses less digits than its factorization.

6872968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859127 (or 859123 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 6872968 is about 2621.6346045931. The cubic root of 6872968 is about 190.1288876178.

It can be divided in two parts, 687 and 2968, that added together give a triangular number (3655 = T₈₅).

The spelling of 6872968 in words is "six million, eight hundred seventy-two thousand, nine hundred sixty-eight".