13964064 has 24 divisors (see below), whose sum is σ = 36655920. Its totient is φ = 4654656.

The previous prime is 13964063. The next prime is 13964101. The reversal of 13964064 is 46046931.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13964063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72634 + ... + 72825.

It is an arithmetic number, because the mean of its divisors is an integer number (1527330).

Almost surely, 2^13964064 is an apocalyptic number.

It is an amenable number.

13964064 is an abundant number, since it is smaller than the sum of its proper divisors (22691856).

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

13964064 is a wasteful number, since it uses less digits than its factorization.

13964064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145472 (or 145464 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 13964064 is about 3736.8521512096. The cubic root of 13964064 is about 240.8078333600.

It can be divided in two parts, 1396 and 4064, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 13964064 in words is "thirteen million, nine hundred sixty-four thousand, sixty-four".