19924320 has 192 divisors, whose sum is σ = 70447104. Its totient is φ = 4700160.

The previous prime is 19924291. The next prime is 19924327. The reversal of 19924320 is 2342991.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19924327) 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 31 ways as a sum of consecutive naturals, for example, 193389 + ... + 193491.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 2^19924320 is an apocalyptic number.

19924320 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 19924320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

19924320 is an abundant number, since it is smaller than the sum of its proper divisors (50522784).

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

19924320 is a wasteful number, since it uses less digits than its factorization.

19924320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 19924320 is about 4463.6666542205. Note that the first 4 decimals coincide. The cubic root of 19924320 is about 271.0989503538.

The spelling of 19924320 in words is "nineteen million, nine hundred twenty-four thousand, three hundred twenty".