18096960 has 112 divisors (see below), whose sum is σ = 65690496. Its totient is φ = 4134912.

The previous prime is 18096941. The next prime is 18096961. The reversal of 18096960 is 6969081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×18096960² = 654999922483200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18096961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5374 + ... + 8066.

Almost surely, 2^18096960 is an apocalyptic number.

18096960 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 18096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32845248).

18096960 is an abundant number, since it is smaller than the sum of its proper divisors (47593536).

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

18096960 is a wasteful number, since it uses less digits than its factorization.

18096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 18096960 is about 4254.0521858576. The cubic root of 18096960 is about 262.5438656852.

The spelling of 18096960 in words is "eighteen million, ninety-six thousand, nine hundred sixty".