18900972 has 96 divisors (see below), whose sum is σ = 52774400. Its totient is φ = 5832000.

The previous prime is 18900971. The next prime is 18900983. The reversal of 18900972 is 27900981.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (18900971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125097 + ... + 125247.

Almost surely, 2^18900972 is an apocalyptic number.

18900972 is a gapful number since it is divisible by the number (12) 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 18900972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26387200).

18900972 is an abundant number, since it is smaller than the sum of its proper divisors (33873428).

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

18900972 is a wasteful number, since it uses less digits than its factorization.

18900972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 18900972 is about 4347.5248130402. The cubic root of 18900972 is about 266.3757668079.

Subtracting 18900972 from its reverse (27900981), we obtain a palindrome (9000009).

The spelling of 18900972 in words is "eighteen million, nine hundred thousand, nine hundred seventy-two".