17968960 has 56 divisors (see below), whose sum is σ = 43150536. Its totient is φ = 7127040.

The previous prime is 17968903. The next prime is 17968967. The reversal of 17968960 is 6986971.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 16451136 = 1232^2 + 4056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 17968960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17968967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74440 + ... + 74680.

Almost surely, 2^17968960 is an apocalyptic number.

17968960 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 17968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21575268).

17968960 is an abundant number, since it is smaller than the sum of its proper divisors (25181576).

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

17968960 is a wasteful number, since it uses less digits than its factorization.

17968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

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

The square root of 17968960 is about 4238.9810096296. The cubic root of 17968960 is about 261.9234086475.

The spelling of 17968960 in words is "seventeen million, nine hundred sixty-eight thousand, nine hundred sixty".