17968764 has 48 divisors (see below), whose sum is σ = 46037376. Its totient is φ = 5409600.

The previous prime is 17968763. The next prime is 17968771. The reversal of 17968764 is 46786971.

17968764 is nontrivially palindromic in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17968763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25659 + ... + 26349.

It is an arithmetic number, because the mean of its divisors is an integer number (959112).

Almost surely, 2^17968764 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 17968764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23018688).

17968764 is an abundant number, since it is smaller than the sum of its proper divisors (28068612).

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

17968764 is a wasteful number, since it uses less digits than its factorization.

17968764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 904 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 17968764 is about 4238.9578908029. The cubic root of 17968764 is about 261.9224563168.

The spelling of 17968764 in words is "seventeen million, nine hundred sixty-eight thousand, seven hundred sixty-four".