19816064 has 64 divisors (see below), whose sum is σ = 42301440. Its totient is φ = 9225216.

The previous prime is 19816051. The next prime is 19816081. The reversal of 19816064 is 46061891.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 155969 + ... + 156095.

It is an arithmetic number, because the mean of its divisors is an integer number (660960).

Almost surely, 2^19816064 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 19816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

19816064 is an abundant number, since it is smaller than the sum of its proper divisors (22485376).

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

19816064 is a wasteful number, since it uses less digits than its factorization.

19816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 19816064 is about 4451.5237840542. The cubic root of 19816064 is about 270.6070656972.

The spelling of 19816064 in words is "nineteen million, eight hundred sixteen thousand, sixty-four".