6972864 has 56 divisors (see below), whose sum is σ = 19263360. Its totient is φ = 2221824.

The previous prime is 6972863. The next prime is 6972871. The reversal of 6972864 is 4682796.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6972863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3627 + ... + 5205.

Almost surely, 2^6972864 is an apocalyptic number.

6972864 is a gapful number since it is divisible by the number (64) 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 6972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631680).

6972864 is an abundant number, since it is smaller than the sum of its proper divisors (12290496).

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

6972864 is a wasteful number, since it uses less digits than its factorization.

6972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1607 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 6972864 is about 2640.6181094585. The cubic root of 6972864 is about 191.0456110291.

The spelling of 6972864 in words is "six million, nine hundred seventy-two thousand, eight hundred sixty-four".