18933984 has 72 divisors (see below), whose sum is σ = 55724760. Its totient is φ = 6091008.

The previous prime is 18933977. The next prime is 18934001. The reversal of 18933984 is 48933981.

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

It is a super-2 number, since 2×18933984² = 716991500224512, which contains 22 as substring.

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, 7219 + ... + 9485.

It is an arithmetic number, because the mean of its divisors is an integer number (773955).

Almost surely, 2^18933984 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 18933984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862380).

18933984 is an abundant number, since it is smaller than the sum of its proper divisors (36790776).

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

18933984 is a wasteful number, since it uses less digits than its factorization.

18933984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2301 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 18933984 is about 4351.3197997849. The cubic root of 18933984 is about 266.5307585232.

The spelling of 18933984 in words is "eighteen million, nine hundred thirty-three thousand, nine hundred eighty-four".