19760960 has 56 divisors (see below), whose sum is σ = 48356520. Its totient is φ = 7686144.

The previous prime is 19760959. The next prime is 19760971. The reversal of 19760960 is 6906791.

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 14077504 = 2384^2 + 3752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11006 + ... + 12674.

Almost surely, 2^19760960 is an apocalyptic number.

19760960 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 19760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178260).

19760960 is an abundant number, since it is smaller than the sum of its proper divisors (28595560).

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

19760960 is a wasteful number, since it uses less digits than its factorization.

19760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 19760960 is about 4445.3301339721. The cubic root of 19760960 is about 270.3560004502.

The spelling of 19760960 in words is "nineteen million, seven hundred sixty thousand, nine hundred sixty".