18968320 has 144 divisors (see below), whose sum is σ = 54452160. Its totient is φ = 6193152.

The previous prime is 18968317. The next prime is 18968333. The reversal of 18968320 is 2386981.

18968320 = T₄₃₅ + T₄₃₆ + ... + T₅₈₀.

It is a self number, because there is not a number n which added to its sum of digits gives 18968320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259804 + ... + 259876.

It is an arithmetic number, because the mean of its divisors is an integer number (378140).

Almost surely, 2^18968320 is an apocalyptic number.

18968320 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 18968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27226080).

18968320 is an abundant number, since it is smaller than the sum of its proper divisors (35483840).

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

18968320 is an equidigital number, since it uses as much as digits as its factorization.

18968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 18968320 is about 4355.2634822706. The cubic root of 18968320 is about 266.6917754135.

The spelling of 18968320 in words is "eighteen million, nine hundred sixty-eight thousand, three hundred twenty".