17968080 has 120 divisors (see below), whose sum is σ = 60451488. Its totient is φ = 4412928.

The previous prime is 17968079. The next prime is 17968103. The reversal of 17968080 is 8086971.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40339 + ... + 40781.

Almost surely, 2^17968080 is an apocalyptic number.

17968080 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 17968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30225744).

17968080 is an abundant number, since it is smaller than the sum of its proper divisors (42483408).

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

17968080 is a wasteful number, since it uses less digits than its factorization.

17968080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 17968080 is about 4238.8772098281. The cubic root of 17968080 is about 261.9191328229.

The spelling of 17968080 in words is "seventeen million, nine hundred sixty-eight thousand, eighty".