19872960 has 112 divisors (see below), whose sum is σ = 63983616. Its totient is φ = 5225472.

The previous prime is 19872929. The next prime is 19872961. The reversal of 19872960 is 6927891.

It is not an unprimeable number, because it can be changed into a prime (19872961) 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, 121839 + ... + 122001.

Almost surely, 2^19872960 is an apocalyptic number.

19872960 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 19872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31991808).

19872960 is an abundant number, since it is smaller than the sum of its proper divisors (44110656).

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

19872960 is a wasteful number, since it uses less digits than its factorization.

19872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 19872960 is about 4457.9098241216. The cubic root of 19872960 is about 270.8658077562.

The spelling of 19872960 in words is "nineteen million, eight hundred seventy-two thousand, nine hundred sixty".