17983968 has 48 divisors (see below), whose sum is σ = 48738816. Its totient is φ = 5800320.

The previous prime is 17983913. The next prime is 17983981. The reversal of 17983968 is 86938971.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 17983968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 5997.

It is an arithmetic number, because the mean of its divisors is an integer number (1015392).

Almost surely, 2^17983968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17983968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24369408).

17983968 is an abundant number, since it is smaller than the sum of its proper divisors (30754848).

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

17983968 is a wasteful number, since it uses less digits than its factorization.

17983968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087 (or 6079 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The square root of 17983968 is about 4240.7508769085. The cubic root of 17983968 is about 261.9963094094.

The spelling of 17983968 in words is "seventeen million, nine hundred eighty-three thousand, nine hundred sixty-eight".