14631264 has 72 divisors (see below), whose sum is σ = 42103152. Its totient is φ = 4819200.

The previous prime is 14631257. The next prime is 14631269. The reversal of 14631264 is 46213641.

14631264 is a `hidden beast` number, since 1 + 4 + 631 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14631269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28837 + ... + 29339.

It is an arithmetic number, because the mean of its divisors is an integer number (584766).

Almost surely, 2^14631264 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 14631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576).

14631264 is an abundant number, since it is smaller than the sum of its proper divisors (27471888).

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

14631264 is a wasteful number, since it uses less digits than its factorization.

14631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 14631264 is about 3825.0835284997. The cubic root of 14631264 is about 244.5835713664.

The spelling of 14631264 in words is "fourteen million, six hundred thirty-one thousand, two hundred sixty-four".