19147968 has 112 divisors (see below), whose sum is σ = 64373760. Its totient is φ = 5467392.

The previous prime is 19147957. The next prime is 19147993. The reversal of 19147968 is 86974191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11305 + ... + 12887.

Almost surely, 2^19147968 is an apocalyptic number.

19147968 is a gapful number since it is divisible by the number (18) 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 19147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186880).

19147968 is an abundant number, since it is smaller than the sum of its proper divisors (45225792).

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

19147968 is a wasteful number, since it uses less digits than its factorization.

19147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1595 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 19147968 is about 4375.8391195290. The cubic root of 19147968 is about 267.5310727581.

The spelling of 19147968 in words is "nineteen million, one hundred forty-seven thousand, nine hundred sixty-eight".