6864624 has 120 divisors (see below), whose sum is σ = 21890960. Its totient is φ = 1990656.

The previous prime is 6864623. The next prime is 6864629. The reversal of 6864624 is 4264686.

It is a happy number.

6864624 is a `hidden beast` number, since 6 + 8 + 646 + 2 + 4 = 666.

It is a super-2 number, since 2×6864624² = 94246125322752, which contains 22 as substring.

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 nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35472 + ... + 35664.

Almost surely, 2^6864624 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 6864624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945480).

6864624 is an abundant number, since it is smaller than the sum of its proper divisors (15026336).

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

6864624 is a wasteful number, since it uses less digits than its factorization.

6864624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6864624 is about 2620.0427477429. The cubic root of 6864624 is about 190.0519156378.

The spelling of 6864624 in words is "six million, eight hundred sixty-four thousand, six hundred twenty-four".