6840864 has 36 divisors (see below), whose sum is σ = 19454526. Its totient is φ = 2280192.

The previous prime is 6840857. The next prime is 6840871. The reversal of 6840864 is 4680486.

It is an interprime number because it is at equal distance from previous prime (6840857) and next prime (6840871).

It can be written as a sum of positive squares in only one way, i.e., 5253264 + 1587600 = 2292^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11589 + ... + 12164.

Almost surely, 2^6840864 is an apocalyptic number.

It is an amenable number.

6840864 is an abundant number, since it is smaller than the sum of its proper divisors (12613662).

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

6840864 is a wasteful number, since it uses less digits than its factorization.

6840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23769 (or 23758 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6840864 is about 2615.5045402369. The cubic root of 6840864 is about 189.8323914304.

The spelling of 6840864 in words is "six million, eight hundred forty thousand, eight hundred sixty-four".