18084672 has 42 divisors (see below), whose sum is σ = 51838098. Its totient is φ = 6028032.

The previous prime is 18084667. The next prime is 18084683. The reversal of 18084672 is 27648081.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 3154176 = 3864^2 + 1776^2 .

It is a super-2 number, since 2×18084672² = 654110722695168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15123 + ... + 16274.

Almost surely, 2^18084672 is an apocalyptic number.

18084672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18084672 is an abundant number, since it is smaller than the sum of its proper divisors (33753426).

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

18084672 is a wasteful number, since it uses less digits than its factorization.

18084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31415 (or 31402 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18084672 is about 4252.6076705946. The cubic root of 18084672 is about 262.4844290083.

The spelling of 18084672 in words is "eighteen million, eighty-four thousand, six hundred seventy-two".