18897120 has 144 divisors (see below), whose sum is σ = 70407792. Its totient is φ = 4577280.

The previous prime is 18897119. The next prime is 18897139. The reversal of 18897120 is 2179881.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×18897120² = 714202288588800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15244 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (488943).

Almost surely, 2^18897120 is an apocalyptic number.

18897120 is a gapful number since it is divisible by the number (10) 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 18897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35203896).

18897120 is an abundant number, since it is smaller than the sum of its proper divisors (51510672).

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

18897120 is a wasteful number, since it uses less digits than its factorization.

18897120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 18897120 is about 4347.0817797690. The cubic root of 18897120 is about 266.3576698697.

It can be divided in two parts, 1889 and 7120, that added together give a palindrome (9009).

The spelling of 18897120 in words is "eighteen million, eight hundred ninety-seven thousand, one hundred twenty".