19321920 has 84 divisors (see below), whose sum is σ = 66469260. Its totient is φ = 5151744.

The previous prime is 19321919. The next prime is 19321927. The reversal of 19321920 is 2912391.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 9437184 = 3144^2 + 3072^2 .

It is not an unprimeable number, because it can be changed into a prime (19321927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475 + ... + 6234.

Almost surely, 2^19321920 is an apocalyptic number.

19321920 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 19321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33234630).

19321920 is an abundant number, since it is smaller than the sum of its proper divisors (47147340).

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

19321920 is a wasteful number, since it uses less digits than its factorization.

19321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 19321920 is about 4395.6705973037. The cubic root of 19321920 is about 268.3387711135.

The spelling of 19321920 in words is "nineteen million, three hundred twenty-one thousand, nine hundred twenty".