19642896 has 120 divisors (see below), whose sum is σ = 67704000. Its totient is φ = 5177088.

The previous prime is 19642891. The next prime is 19642919. The reversal of 19642896 is 69824691.

It is a happy number.

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 (19642891) 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 23 ways as a sum of consecutive naturals, for example, 12355 + ... + 13853.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^19642896 is an apocalyptic number.

19642896 is a gapful number since it is divisible by the number (16) 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 19642896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33852000).

19642896 is an abundant number, since it is smaller than the sum of its proper divisors (48061104).

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

19642896 is a wasteful number, since it uses less digits than its factorization.

19642896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1524 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 19642896 is about 4432.0306858143. The cubic root of 19642896 is about 269.8165008317.

The spelling of 19642896 in words is "nineteen million, six hundred forty-two thousand, eight hundred ninety-six".