19829968 has 20 divisors (see below), whose sum is σ = 39746340. Its totient is φ = 9572864.

The previous prime is 19829921. The next prime is 19829981. The reversal of 19829968 is 86992891.

It can be written as a sum of positive squares in 2 ways, for example, as 12475024 + 7354944 = 3532^2 + 2712^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 20905 + ... + 21832.

It is an arithmetic number, because the mean of its divisors is an integer number (1987317).

Almost surely, 2^19829968 is an apocalyptic number.

It is an amenable number.

19829968 is an abundant number, since it is smaller than the sum of its proper divisors (19916372).

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

19829968 is a wasteful number, since it uses less digits than its factorization.

19829968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42774 (or 42768 counting only the distinct ones).

The product of its digits is 559872, while the sum is 52.

The square root of 19829968 is about 4453.0852226294. The cubic root of 19829968 is about 270.6703416500.

The spelling of 19829968 in words is "nineteen million, eight hundred twenty-nine thousand, nine hundred sixty-eight".