14536064 has 64 divisors (see below), whose sum is σ = 31416000. Its totient is φ = 6676992.

The previous prime is 14536061. The next prime is 14536087. The reversal of 14536064 is 46063541.

It is a happy number.

14536064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×14536064² = 422594313224192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14536061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104507 + ... + 104645.

It is an arithmetic number, because the mean of its divisors is an integer number (490875).

Almost surely, 2^14536064 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 14536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15708000).

14536064 is an abundant number, since it is smaller than the sum of its proper divisors (16879936).

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

14536064 is a wasteful number, since it uses less digits than its factorization.

14536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 14536064 is about 3812.6190473217. The cubic root of 14536064 is about 244.0519462993.

The spelling of 14536064 in words is "fourteen million, five hundred thirty-six thousand, sixty-four".