18813960 has 96 divisors (see below), whose sum is σ = 66718080. Its totient is φ = 4560000.

The previous prime is 18813947. The next prime is 18813961. The reversal of 18813960 is 6931881.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18813961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1585 + ... + 6335.

It is an arithmetic number, because the mean of its divisors is an integer number (694980).

Almost surely, 2^18813960 is an apocalyptic number.

18813960 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 18813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33359040).

18813960 is an abundant number, since it is smaller than the sum of its proper divisors (47904120).

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

18813960 is a wasteful number, since it uses less digits than its factorization.

18813960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 18813960 is about 4337.5061959610. The cubic root of 18813960 is about 265.9663778711.

The spelling of 18813960 in words is "eighteen million, eight hundred thirteen thousand, nine hundred sixty".