6672864 has 96 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 1971200.

The previous prime is 6672863. The next prime is 6672877. The reversal of 6672864 is 4682766.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6672864² = 89054227924992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6672863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74932 + ... + 75020.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^6672864 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 6672864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

6672864 is an abundant number, since it is smaller than the sum of its proper divisors (12922656).

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

6672864 is a wasteful number, since it uses less digits than its factorization.

6672864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 6672864 is about 2583.1887271355. The cubic root of 6672864 is about 188.2655068539.

The spelling of 6672864 in words is "six million, six hundred seventy-two thousand, eight hundred sixty-four".