19918560 has 96 divisors (see below), whose sum is σ = 66461472. Its totient is φ = 4997120.

The previous prime is 19918559. The next prime is 19918571. The reversal of 19918560 is 6581991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6940 + ... + 9380.

It is an arithmetic number, because the mean of its divisors is an integer number (692307).

Almost surely, 2^19918560 is an apocalyptic number.

19918560 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 19918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33230736).

19918560 is an abundant number, since it is smaller than the sum of its proper divisors (46542912).

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

19918560 is a wasteful number, since it uses less digits than its factorization.

19918560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 19918560 is about 4463.0213981114. The cubic root of 19918560 is about 271.0728234822.

The spelling of 19918560 in words is "nineteen million, nine hundred eighteen thousand, five hundred sixty".