18432864 has 72 divisors (see below), whose sum is σ = 54250560. Its totient is φ = 5929728.

The previous prime is 18432857. The next prime is 18432871. The reversal of 18432864 is 46823481.

It is an interprime number because it is at equal distance from previous prime (18432857) and next prime (18432871).

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7249 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 2^18432864 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 18432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

18432864 is an abundant number, since it is smaller than the sum of its proper divisors (35817696).

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

18432864 is a wasteful number, since it uses less digits than its factorization.

18432864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2241 counting only the distinct ones).

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

The square root of 18432864 is about 4293.3511386794. The cubic root of 18432864 is about 264.1583072561.

The spelling of 18432864 in words is "eighteen million, four hundred thirty-two thousand, eight hundred sixty-four".