19996416 has 144 divisors (see below), whose sum is σ = 64753920. Its totient is φ = 6036480.

The previous prime is 19996411. The next prime is 19996421. The reversal of 19996416 is 61469991.

It is an interprime number because it is at equal distance from previous prime (19996411) and next prime (19996421).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19996411) 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, 75901 + ... + 76163.

It is an arithmetic number, because the mean of its divisors is an integer number (449680).

Almost surely, 2^19996416 is an apocalyptic number.

19996416 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 19996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32376960).

19996416 is an abundant number, since it is smaller than the sum of its proper divisors (44757504).

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

19996416 is a wasteful number, since it uses less digits than its factorization.

19996416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 19996416 is about 4471.7352336649. The cubic root of 19996416 is about 271.4255465696.

The spelling of 19996416 in words is "nineteen million, nine hundred ninety-six thousand, four hundred sixteen".