19996560 has 60 divisors (see below), whose sum is σ = 67157532. Its totient is φ = 5332224.

The previous prime is 19996547. The next prime is 19996567. The reversal of 19996560 is 6569991.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 10036224 = 3156^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (19996567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13167 + ... + 14606.

Almost surely, 2^19996560 is an apocalyptic number.

19996560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19996560 is an abundant number, since it is smaller than the sum of its proper divisors (47160972).

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

19996560 is a wasteful number, since it uses less digits than its factorization.

19996560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27792 (or 27783 counting only the distinct ones).

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

The square root of 19996560 is about 4471.7513347681. The cubic root of 19996560 is about 271.4261981061.

The spelling of 19996560 in words is "nineteen million, nine hundred ninety-six thousand, five hundred sixty".