14612864 has 64 divisors (see below), whose sum is σ = 34076160. Its totient is φ = 6111744.

The previous prime is 14612861. The next prime is 14612879. The reversal of 14612864 is 46821641.

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

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 14612864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14612861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41939 + ... + 42285.

It is an arithmetic number, because the mean of its divisors is an integer number (532440).

Almost surely, 2^14612864 is an apocalyptic number.

14612864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17038080).

14612864 is an abundant number, since it is smaller than the sum of its proper divisors (19463296).

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

14612864 is an equidigital number, since it uses as much as digits as its factorization.

14612864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 14612864 is about 3822.6775956128. The cubic root of 14612864 is about 244.4810004710.

The spelling of 14612864 in words is "fourteen million, six hundred twelve thousand, eight hundred sixty-four".