18756144 has 80 divisors (see below), whose sum is σ = 58746240. Its totient is φ = 5682240.

The previous prime is 18756139. The next prime is 18756167. The reversal of 18756144 is 44165781.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 18756099 and 18756108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779 + ... + 6725.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 2^18756144 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 18756144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29373120).

18756144 is an abundant number, since it is smaller than the sum of its proper divisors (39990096).

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

18756144 is a wasteful number, since it uses less digits than its factorization.

18756144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3963 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 18756144 is about 4330.8364088245. The cubic root of 18756144 is about 265.6936567901.

The spelling of 18756144 in words is "eighteen million, seven hundred fifty-six thousand, one hundred forty-four".