18976144 has 40 divisors (see below), whose sum is σ = 40452768. Its totient is φ = 8551680.

The previous prime is 18976073. The next prime is 18976147. The reversal of 18976144 is 44167981.

It is a super-2 number, since 2×18976144² = 720188082217472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18976097 and 18976106.

It is not an unprimeable number, because it can be changed into a prime (18976147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23719 + ... + 24505.

Almost surely, 2^18976144 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 18976144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226384).

18976144 is an abundant number, since it is smaller than the sum of its proper divisors (21476624).

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

18976144 is a wasteful number, since it uses less digits than its factorization.

18976144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 937 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 18976144 is about 4356.1616131636. The cubic root of 18976144 is about 266.7284384676.

The spelling of 18976144 in words is "eighteen million, nine hundred seventy-six thousand, one hundred forty-four".