19906960 has 80 divisors (see below), whose sum is σ = 49996800. Its totient is φ = 7349760.

The previous prime is 19906951. The next prime is 19906961. The reversal of 19906960 is 6960991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (19906961) 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 15 ways as a sum of consecutive naturals, for example, 56866 + ... + 57214.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^19906960 is an apocalyptic number.

19906960 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 19906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998400).

19906960 is an abundant number, since it is smaller than the sum of its proper divisors (30089840).

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

19906960 is a wasteful number, since it uses less digits than its factorization.

19906960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 19906960 is about 4461.7216408019. The cubic root of 19906960 is about 271.0201915757.

The spelling of 19906960 in words is "nineteen million, nine hundred six thousand, nine hundred sixty".