16964064 has 144 divisors (see below), whose sum is σ = 54486432. Its totient is φ = 4967424.

The previous prime is 16964063. The next prime is 16964069. The reversal of 16964064 is 46046961.

16964064 is a `hidden beast` number, since 1 + 6 + 9 + 640 + 6 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16964063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86014 + ... + 86210.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 2^16964064 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 16964064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243216).

16964064 is an abundant number, since it is smaller than the sum of its proper divisors (37522368).

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

16964064 is a wasteful number, since it uses less digits than its factorization.

16964064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 16964064 is about 4118.7454400582. The cubic root of 16964064 is about 256.9468516923.

The spelling of 16964064 in words is "sixteen million, nine hundred sixty-four thousand, sixty-four".