19327920 has 80 divisors (see below), whose sum is σ = 62004960. Its totient is φ = 4974592.

The previous prime is 19327909. The next prime is 19327927. The reversal of 19327920 is 2972391.

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

It is not an unprimeable number, because it can be changed into a prime (19327927) 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 15 ways as a sum of consecutive naturals, for example, 5572 + ... + 8348.

It is an arithmetic number, because the mean of its divisors is an integer number (775062).

Almost surely, 2^19327920 is an apocalyptic number.

19327920 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 19327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31002480).

19327920 is an abundant number, since it is smaller than the sum of its proper divisors (42677040).

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

19327920 is a wasteful number, since it uses less digits than its factorization.

19327920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 19327920 is about 4396.3530340499. The cubic root of 19327920 is about 268.3665438193.

The spelling of 19327920 in words is "nineteen million, three hundred twenty-seven thousand, nine hundred twenty".