19872320 has 112 divisors (see below), whose sum is σ = 54150768. Its totient is φ = 6881280.

The previous prime is 19872319. The next prime is 19872323. The reversal of 19872320 is 2327891.

It can be written as a sum of positive squares in 8 ways, for example, as 16384 + 19855936 = 128^2 + 4456^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19872323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70580 + ... + 70860.

It is an arithmetic number, because the mean of its divisors is an integer number (483489).

Almost surely, 2^19872320 is an apocalyptic number.

19872320 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 19872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27075384).

19872320 is an abundant number, since it is smaller than the sum of its proper divisors (34278448).

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

19872320 is a wasteful number, since it uses less digits than its factorization.

19872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 19872320 is about 4457.8380410239. The cubic root of 19872320 is about 270.8629000200.

The spelling of 19872320 in words is "nineteen million, eight hundred seventy-two thousand, three hundred twenty".