18806144 has 64 divisors (see below), whose sum is σ = 43411200. Its totient is φ = 7948800.

The previous prime is 18806141. The next prime is 18806147. The reversal of 18806144 is 44160881.

It is an interprime number because it is at equal distance from previous prime (18806141) and next prime (18806147).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 18806144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18806141) 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, 124469 + ... + 124619.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 2^18806144 is an apocalyptic number.

18806144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21705600).

18806144 is an abundant number, since it is smaller than the sum of its proper divisors (24605056).

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

18806144 is a wasteful number, since it uses less digits than its factorization.

18806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 18806144 is about 4336.6051238267. The cubic root of 18806144 is about 265.9295420828.

The spelling of 18806144 in words is "eighteen million, eight hundred six thousand, one hundred forty-four".