14936064 has 192 divisors, whose sum is σ = 49533120. Its totient is φ = 3932160.

The previous prime is 14936063. The next prime is 14936087. The reversal of 14936064 is 46063941.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14936063) 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, 878584 + ... + 878600.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^14936064 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 14936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

14936064 is an abundant number, since it is smaller than the sum of its proper divisors (34597056).

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

14936064 is a wasteful number, since it uses less digits than its factorization.

14936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

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

The square root of 14936064 is about 3864.7204297336. The cubic root of 14936064 is about 246.2703089918.

It can be divided in two parts, 1493 and 6064, that added together give a palindrome (7557).

The spelling of 14936064 in words is "fourteen million, nine hundred thirty-six thousand, sixty-four".