19904672 has 48 divisors (see below), whose sum is σ = 41164200. Its totient is φ = 9461760.

The previous prime is 19904663. The next prime is 19904681. The reversal of 19904672 is 27640991.

It is an interprime number because it is at equal distance from previous prime (19904663) and next prime (19904681).

It can be written as a sum of positive squares in 4 ways, for example, as 16679056 + 3225616 = 4084^2 + 1796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82472 + ... + 82712.

Almost surely, 2^19904672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582100).

19904672 is an abundant number, since it is smaller than the sum of its proper divisors (21259528).

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

19904672 is a wasteful number, since it uses less digits than its factorization.

19904672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 19904672 is about 4461.4652301682. The cubic root of 19904672 is about 271.0098079719.

The spelling of 19904672 in words is "nineteen million, nine hundred four thousand, six hundred seventy-two".