6716864 has 112 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 2472960.

The previous prime is 6716837. The next prime is 6716867. The reversal of 6716864 is 4686176.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (48384) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6716867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142889 + ... + 142935.

Almost surely, 2^6716864 is an apocalyptic number.

6716864 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 6716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

6716864 is an abundant number, since it is smaller than the sum of its proper divisors (10839616).

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

6716864 is a wasteful number, since it uses less digits than its factorization.

6716864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 6716864 is about 2591.6913396468. The cubic root of 6716864 is about 188.6784001049.

The spelling of 6716864 in words is "six million, seven hundred sixteen thousand, eight hundred sixty-four".