19164768 has 144 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 5121792.

The previous prime is 19164757. The next prime is 19164791. The reversal of 19164768 is 86746191.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 242553 + ... + 242631.

It is an arithmetic number, because the mean of its divisors is an integer number (426720).

Almost surely, 2^19164768 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 19164768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

19164768 is an abundant number, since it is smaller than the sum of its proper divisors (42282912).

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

19164768 is a wasteful number, since it uses less digits than its factorization.

19164768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 19164768 is about 4377.7583304701. The cubic root of 19164768 is about 267.6092918185.

The spelling of 19164768 in words is "nineteen million, one hundred sixty-four thousand, seven hundred sixty-eight".