17968480 has 24 divisors (see below), whose sum is σ = 42450912. Its totient is φ = 7187328.

The previous prime is 17968463. The next prime is 17968481. The reversal of 17968480 is 8486971.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17968481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55992 + ... + 56311.

It is an arithmetic number, because the mean of its divisors is an integer number (1768788).

Almost surely, 2^17968480 is an apocalyptic number.

17968480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17968480 is an abundant number, since it is smaller than the sum of its proper divisors (24482432).

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

17968480 is a wasteful number, since it uses less digits than its factorization.

17968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112318 (or 112310 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 17968480 is about 4238.9243918711. The cubic root of 17968480 is about 261.9210763968.

The spelling of 17968480 in words is "seventeen million, nine hundred sixty-eight thousand, four hundred eighty".