13864064 has 32 divisors (see below), whose sum is σ = 27953100. Its totient is φ = 6848512.

The previous prime is 13864063. The next prime is 13864073. The reversal of 13864064 is 46046831.

It can be written as a sum of positive squares in 2 ways, for example, as 13017664 + 846400 = 3608^2 + 920^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13864064.

It is not an unprimeable number, because it can be changed into a prime (13864063) 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, 10784 + ... + 12000.

Almost surely, 2^13864064 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 13864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976550).

13864064 is an abundant number, since it is smaller than the sum of its proper divisors (14089036).

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

13864064 is an equidigital number, since it uses as much as digits as its factorization.

13864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 13864064 is about 3723.4478645471. The cubic root of 13864064 is about 240.2316282314.

The spelling of 13864064 in words is "thirteen million, eight hundred sixty-four thousand, sixty-four".