19596960 has 144 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 5045760.

The previous prime is 19596959. The next prime is 19597003. The reversal of 19596960 is 6969591.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 44421 + ... + 44859.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 2^19596960 is an apocalyptic number.

19596960 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 19596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

19596960 is an abundant number, since it is smaller than the sum of its proper divisors (49592160).

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

19596960 is a wasteful number, since it uses less digits than its factorization.

19596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 19596960 is about 4426.8453779187. The cubic root of 19596960 is about 269.6060097220.

The spelling of 19596960 in words is "nineteen million, five hundred ninety-six thousand, nine hundred sixty".