19934720 has 80 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 7348224.

The previous prime is 19934713. The next prime is 19934729. The reversal of 19934720 is 2743991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×19934720² = 794786122956800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19934729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32981 + ... + 33579.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^19934720 is an apocalyptic number.

19934720 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 19934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

19934720 is an abundant number, since it is smaller than the sum of its proper divisors (31624480).

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

19934720 is an equidigital number, since it uses as much as digits as its factorization.

19934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 19934720 is about 4464.8314637845. The cubic root of 19934720 is about 271.1461111213.

The spelling of 19934720 in words is "nineteen million, nine hundred thirty-four thousand, seven hundred twenty".