18892144 has 40 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 8908800.

The previous prime is 18892141. The next prime is 18892147. The reversal of 18892144 is 44129881.

It is an interprime number because it is at equal distance from previous prime (18892141) and next prime (18892147).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18892141) 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, 19872 + ... + 20800.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^18892144 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 18892144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

18892144 is an abundant number, since it is smaller than the sum of its proper divisors (19855376).

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

18892144 is a wasteful number, since it uses less digits than its factorization.

18892144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1003 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 18892144 is about 4346.5094041081. The cubic root of 18892144 is about 266.3342886681.

The spelling of 18892144 in words is "eighteen million, eight hundred ninety-two thousand, one hundred forty-four".