6912864 has 144 divisors (see below), whose sum is σ = 23482368. Its totient is φ = 1959552.

The previous prime is 6912833. The next prime is 6912869. The reversal of 6912864 is 4682196.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6912869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54369 + ... + 54495.

It is an arithmetic number, because the mean of its divisors is an integer number (163072).

Almost surely, 2^6912864 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 6912864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741184).

6912864 is an abundant number, since it is smaller than the sum of its proper divisors (16569504).

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

6912864 is a wasteful number, since it uses less digits than its factorization.

6912864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6912864 is about 2629.2325876575. The cubic root of 6912864 is about 190.4960629108.

It can be divided in two parts, 6912 and 864, that added together give a 5-th power (7776 = 6⁵).

The spelling of 6912864 in words is "six million, nine hundred twelve thousand, eight hundred sixty-four".