19920384 has 160 divisors (see below), whose sum is σ = 64817280. Its totient is φ = 5990400.

The previous prime is 19920353. The next prime is 19920391. The reversal of 19920384 is 48302991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151999 + ... + 152129.

It is an arithmetic number, because the mean of its divisors is an integer number (405108).

Almost surely, 2^19920384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32408640).

19920384 is an abundant number, since it is smaller than the sum of its proper divisors (44896896).

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

19920384 is a wasteful number, since it uses less digits than its factorization.

19920384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19920384 is about 4463.2257393056. The cubic root of 19920384 is about 271.0810975364.

The spelling of 19920384 in words is "nineteen million, nine hundred twenty thousand, three hundred eighty-four".