18750240 has 144 divisors (see below), whose sum is σ = 66339000. Its totient is φ = 4816896.

The previous prime is 18750239. The next prime is 18750299. The reversal of 18750240 is 4205781.

It can be written as a sum of positive squares in 4 ways, for example, as 15968016 + 2782224 = 3996^2 + 1668^2 .

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

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, 41536 + ... + 41984.

Almost surely, 2^18750240 is an apocalyptic number.

18750240 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 18750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33169500).

18750240 is an abundant number, since it is smaller than the sum of its proper divisors (47588760).

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

18750240 is a wasteful number, since it uses less digits than its factorization.

18750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18750240 is about 4330.1547316464. The cubic root of 18750240 is about 265.6657757933.

The spelling of 18750240 in words is "eighteen million, seven hundred fifty thousand, two hundred forty".