19493968 has 80 divisors (see below), whose sum is σ = 44528400. Its totient is φ = 8183808.

The previous prime is 19493963. The next prime is 19493987. The reversal of 19493968 is 86939491.

It can be written as a sum of positive squares in 8 ways, for example, as 28224 + 19465744 = 168^2 + 4412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19493963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130758 + ... + 130906.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^19493968 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 19493968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264200).

19493968 is an abundant number, since it is smaller than the sum of its proper divisors (25034432).

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

19493968 is a wasteful number, since it uses less digits than its factorization.

19493968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 19493968 is about 4415.1973908309. The cubic root of 19493968 is about 269.1328742905.

The spelling of 19493968 in words is "nineteen million, four hundred ninety-three thousand, nine hundred sixty-eight".