18929664 has 144 divisors (see below), whose sum is σ = 59623200. Its totient is φ = 5750784.

The previous prime is 18929641. The next prime is 18929671. The reversal of 18929664 is 46692981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239577 + ... + 239655.

It is an arithmetic number, because the mean of its divisors is an integer number (414050).

Almost surely, 2^18929664 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 18929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29811600).

18929664 is an abundant number, since it is smaller than the sum of its proper divisors (40693536).

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

18929664 is a wasteful number, since it uses less digits than its factorization.

18929664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 18929664 is about 4350.8233703519. The cubic root of 18929664 is about 266.5104863245.

The spelling of 18929664 in words is "eighteen million, nine hundred twenty-nine thousand, six hundred sixty-four".