18738240 has 112 divisors (see below), whose sum is σ = 60350400. Its totient is φ = 4925440.

The previous prime is 18738217. The next prime is 18738281. The reversal of 18738240 is 4283781.

It is a super-2 number, since 2×18738240² = 702243276595200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125686 + ... + 125834.

Almost surely, 2^18738240 is an apocalyptic number.

18738240 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 18738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30175200).

18738240 is an abundant number, since it is smaller than the sum of its proper divisors (41612160).

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

18738240 is a wasteful number, since it uses less digits than its factorization.

18738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 18738240 is about 4328.7688780992. The cubic root of 18738240 is about 265.6090890585.

The spelling of 18738240 in words is "eighteen million, seven hundred thirty-eight thousand, two hundred forty".