19768960 has 128 divisors (see below), whose sum is σ = 52876800. Its totient is φ = 7028736.

The previous prime is 19768951. The next prime is 19768967. The reversal of 19768960 is 6986791.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 19768960.

It is not an unprimeable number, because it can be changed into a prime (19768967) 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, 250201 + ... + 250279.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 2^19768960 is an apocalyptic number.

19768960 is a gapful number since it is divisible by the number (10) 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 19768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26438400).

19768960 is an abundant number, since it is smaller than the sum of its proper divisors (33107840).

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

19768960 is a wasteful number, since it uses less digits than its factorization.

19768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 19768960 is about 4446.2298636035. The cubic root of 19768960 is about 270.3924790457.

The spelling of 19768960 in words is "nineteen million, seven hundred sixty-eight thousand, nine hundred sixty".