19893072 has 80 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 6182400.

The previous prime is 19893067. The next prime is 19893121. The reversal of 19893072 is 27039891.

It is a self number, because there is not a number n which added to its sum of digits gives 19893072.

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, 42922 + ... + 43382.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^19893072 is an apocalyptic number.

19893072 is a gapful number since it is divisible by the number (12) 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 19893072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

19893072 is an abundant number, since it is smaller than the sum of its proper divisors (35103408).

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

19893072 is a wasteful number, since it uses less digits than its factorization.

19893072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 19893072 is about 4460.1650193687. The cubic root of 19893072 is about 270.9571515794.

The spelling of 19893072 in words is "nineteen million, eight hundred ninety-three thousand, seventy-two".