19880672 has 72 divisors (see below), whose sum is σ = 47113920. Its totient is φ = 8225280.

The previous prime is 19880647. The next prime is 19880677. The reversal of 19880672 is 27608891.

It is a super-2 number, since 2×19880672² = 790482238343168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19880677) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48404 + ... + 48812.

It is an arithmetic number, because the mean of its divisors is an integer number (654360).

Almost surely, 2^19880672 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 19880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23556960).

19880672 is an abundant number, since it is smaller than the sum of its proper divisors (27233248).

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

19880672 is a wasteful number, since it uses less digits than its factorization.

19880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 19880672 is about 4458.7747195838. The cubic root of 19880672 is about 270.9008410704.

The spelling of 19880672 in words is "nineteen million, eight hundred eighty thousand, six hundred seventy-two".