19730880 has 336 divisors, whose sum is σ = 79881984. Its totient is φ = 4423680.

The previous prime is 19730857. The next prime is 19730891. The reversal of 19730880 is 8803791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636465 + ... + 636495.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 2^19730880 is an apocalyptic number.

19730880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19730880 is the 3627-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

19730880 is an abundant number, since it is smaller than the sum of its proper divisors (60151104).

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

19730880 is a wasteful number, since it uses less digits than its factorization.

19730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 19730880 is about 4441.9455197019. The cubic root of 19730880 is about 270.2187527608.

The spelling of 19730880 in words is "nineteen million, seven hundred thirty thousand, eight hundred eighty".