19516960 has 48 divisors (see below), whose sum is σ = 46400256. Its totient is φ = 7757568.

The previous prime is 19516957. The next prime is 19516963. The reversal of 19516960 is 6961591.

It is an interprime number because it is at equal distance from previous prime (19516957) and next prime (19516963).

It is not an unprimeable number, because it can be changed into a prime (19516963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35407 + ... + 35953.

It is an arithmetic number, because the mean of its divisors is an integer number (966672).

Almost surely, 2^19516960 is an apocalyptic number.

19516960 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 19516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23200128).

19516960 is an abundant number, since it is smaller than the sum of its proper divisors (26883296).

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

19516960 is a wasteful number, since it uses less digits than its factorization.

19516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 19516960 is about 4417.8003576441. The cubic root of 19516960 is about 269.2386415699.

It can be divided in two parts, 1951 and 6960, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 19516960 in words is "nineteen million, five hundred sixteen thousand, nine hundred sixty".