14364064 has 96 divisors (see below), whose sum is σ = 34461504. Its totient is φ = 5806080.

The previous prime is 14364061. The next prime is 14364073. The reversal of 14364064 is 46046341.

14364064 = T₉₁ + T₉₂ + ... + T₄₄₂.

It is a happy number.

14364064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14364061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196732 + ... + 196804.

It is an arithmetic number, because the mean of its divisors is an integer number (358974).

Almost surely, 2^14364064 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 14364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230752).

14364064 is an abundant number, since it is smaller than the sum of its proper divisors (20097440).

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

14364064 is a wasteful number, since it uses less digits than its factorization.

14364064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 14364064 is about 3789.9952506567. The cubic root of 14364064 is about 243.0855315995.

The spelling of 14364064 in words is "fourteen million, three hundred sixty-four thousand, sixty-four".