18993960 has 128 divisors (see below), whose sum is σ = 64944000. Its totient is φ = 4935168.

The previous prime is 18993941. The next prime is 18993967. The reversal of 18993960 is 6939981.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (18993967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46236 + ... + 46644.

It is an arithmetic number, because the mean of its divisors is an integer number (507375).

Almost surely, 2^18993960 is an apocalyptic number.

18993960 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 18993960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32472000).

18993960 is an abundant number, since it is smaller than the sum of its proper divisors (45950040).

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

18993960 is a wasteful number, since it uses less digits than its factorization.

18993960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 18993960 is about 4358.2060529534. The cubic root of 18993960 is about 266.8118861808.

It can be divided in two parts, 189 and 93960, that added together give a palindrome (94149).

The spelling of 18993960 in words is "eighteen million, nine hundred ninety-three thousand, nine hundred sixty".