19482912 has 72 divisors (see below), whose sum is σ = 56363580. Its totient is φ = 6382080.

The previous prime is 19482899. The next prime is 19482917. The reversal of 19482912 is 21928491.

It can be written as a sum of positive squares in 2 ways, for example, as 12702096 + 6780816 = 3564^2 + 2604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19482917) 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, 17014 + ... + 18122.

Almost surely, 2^19482912 is an apocalyptic number.

19482912 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 19482912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28181790).

19482912 is an abundant number, since it is smaller than the sum of its proper divisors (36880668).

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

19482912 is a wasteful number, since it uses less digits than its factorization.

19482912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1175 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 19482912 is about 4413.9451741045. The cubic root of 19482912 is about 269.0819851170.

The spelling of 19482912 in words is "nineteen million, four hundred eighty-two thousand, nine hundred twelve".