19904960 has 56 divisors (see below), whose sum is σ = 50200560. Its totient is φ = 7491584.

The previous prime is 19904953. The next prime is 19904981. The reversal of 19904960 is 6940991.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3611 + ... + 7269.

Almost surely, 2^19904960 is an apocalyptic number.

19904960 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 19904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25100280).

19904960 is an abundant number, since it is smaller than the sum of its proper divisors (30295600).

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

19904960 is a wasteful number, since it uses less digits than its factorization.

19904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 19904960 is about 4461.4975064433. The cubic root of 19904960 is about 271.0111150427.

The spelling of 19904960 in words is "nineteen million, nine hundred four thousand, nine hundred sixty".