6864864 has 48 divisors (see below), whose sum is σ = 18450432. Its totient is φ = 2233728.

The previous prime is 6864853. The next prime is 6864881. The reversal of 6864864 is 4684686.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3297 + ... + 4959.

It is an arithmetic number, because the mean of its divisors is an integer number (384384).

Almost surely, 2^6864864 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 6864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225216).

6864864 is an abundant number, since it is smaller than the sum of its proper divisors (11585568).

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

6864864 is a wasteful number, since it uses less digits than its factorization.

6864864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 6864864 is about 2620.0885481220. The cubic root of 6864864 is about 190.0541304680.

The spelling of 6864864 in words is "six million, eight hundred sixty-four thousand, eight hundred sixty-four".