18742240 has 96 divisors (see below), whose sum is σ = 50512896. Its totient is φ = 6504960.

The previous prime is 18742219. The next prime is 18742249. The reversal of 18742240 is 4224781.

It is a junction number, because it is equal to n+sod(n) for n = 18742199 and 18742208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18742249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40249 + ... + 40711.

It is an arithmetic number, because the mean of its divisors is an integer number (526176).

Almost surely, 2^18742240 is an apocalyptic number.

18742240 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 18742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25256448).

18742240 is an abundant number, since it is smaller than the sum of its proper divisors (31770656).

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

18742240 is a wasteful number, since it uses less digits than its factorization.

18742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 18742240 is about 4329.2308785742. The cubic root of 18742240 is about 265.6279873251.

It can be divided in two parts, 1874 and 2240, that added together give a palindrome (4114).

The spelling of 18742240 in words is "eighteen million, seven hundred forty-two thousand, two hundred forty".