19934880 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 4276224.

The previous prime is 19934879. The next prime is 19934899. The reversal of 19934880 is 8843991.

It is a super-2 number, since 2×19934880² = 794798881228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56946 + ... + 57294.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^19934880 is an apocalyptic number.

19934880 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 19934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

19934880 is an abundant number, since it is smaller than the sum of its proper divisors (56269920).

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

19934880 is a wasteful number, since it uses less digits than its factorization.

19934880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 19934880 is about 4464.8493815581. The cubic root of 19934880 is about 271.1468365435.

The spelling of 19934880 in words is "nineteen million, nine hundred thirty-four thousand, eight hundred eighty".