18796960 has 96 divisors (see below), whose sum is σ = 54698112. Its totient is φ = 5944320.

The previous prime is 18796949. The next prime is 18796961. The reversal of 18796960 is 6969781.

It is a self number, because there is not a number n which added to its sum of digits gives 18796960.

It is not an unprimeable number, because it can be changed into a prime (18796961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13915 + ... + 15205.

It is an arithmetic number, because the mean of its divisors is an integer number (569772).

Almost surely, 2^18796960 is an apocalyptic number.

18796960 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 18796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27349056).

18796960 is an abundant number, since it is smaller than the sum of its proper divisors (35901152).

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

18796960 is a wasteful number, since it uses less digits than its factorization.

18796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 18796960 is about 4335.5461017039. The cubic root of 18796960 is about 265.8862460445.

The spelling of 18796960 in words is "eighteen million, seven hundred ninety-six thousand, nine hundred sixty".