19964064 has 96 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 6272000.

The previous prime is 19964059. The next prime is 19964081. The reversal of 19964064 is 46046991.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197614 + ... + 197714.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 2^19964064 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 19964064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

19964064 is an abundant number, since it is smaller than the sum of its proper divisors (35556576).

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

19964064 is a wasteful number, since it uses less digits than its factorization.

19964064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 19964064 is about 4468.1163816535. The cubic root of 19964064 is about 271.2790886712.

The spelling of 19964064 in words is "nineteen million, nine hundred sixty-four thousand, sixty-four".