18630240 has 96 divisors (see below), whose sum is σ = 60328800. Its totient is φ = 4829184.

The previous prime is 18630239. The next prime is 18630247. The reversal of 18630240 is 4203681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 18630240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18630247) 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, 17236 + ... + 18284.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 2^18630240 is an apocalyptic number.

18630240 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 18630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164400).

18630240 is an abundant number, since it is smaller than the sum of its proper divisors (41698560).

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

18630240 is a wasteful number, since it uses less digits than its factorization.

18630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 18630240 is about 4316.2761728138. The cubic root of 18630240 is about 265.0978160319.

The spelling of 18630240 in words is "eighteen million, six hundred thirty thousand, two hundred forty".