18564672 has 112 divisors (see below), whose sum is σ = 59171840. Its totient is φ = 5018112.

The previous prime is 18564661. The next prime is 18564673. The reversal of 18564672 is 27646581.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (80640) is a multiple of the sum of its prime factors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 18564672.

It is not an unprimeable number, because it can be changed into a prime (18564673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25173 + ... + 25899.

It is an arithmetic number, because the mean of its divisors is an integer number (528320).

Almost surely, 2^18564672 is an apocalyptic number.

18564672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29585920).

18564672 is an abundant number, since it is smaller than the sum of its proper divisors (40607168).

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

18564672 is a wasteful number, since it uses less digits than its factorization.

18564672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 18564672 is about 4308.6740419763. The cubic root of 18564672 is about 264.7864519071.

The spelling of 18564672 in words is "eighteen million, five hundred sixty-four thousand, six hundred seventy-two".