18882144 has 36 divisors (see below), whose sum is σ = 53696916. Its totient is φ = 6293952.

The previous prime is 18882139. The next prime is 18882163. The reversal of 18882144 is 44128881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 junction number, because it is equal to n+sod(n) for n = 18882099 and 18882108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32494 + ... + 33069.

It is an arithmetic number, because the mean of its divisors is an integer number (1491581).

Almost surely, 2^18882144 is an apocalyptic number.

It is an amenable number.

18882144 is an abundant number, since it is smaller than the sum of its proper divisors (34814772).

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

18882144 is a wasteful number, since it uses less digits than its factorization.

18882144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65579 (or 65568 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 18882144 is about 4345.3589034739. The cubic root of 18882144 is about 266.2872883039.

The spelling of 18882144 in words is "eighteen million, eight hundred eighty-two thousand, one hundred forty-four".