14676864 has 64 divisors (see below), whose sum is σ = 40077840. Its totient is φ = 4755456.

The previous prime is 14676863. The next prime is 14676877. The reversal of 14676864 is 46867641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14676863) 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, 13692 + ... + 14724.

Almost surely, 2^14676864 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 14676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038920).

14676864 is an abundant number, since it is smaller than the sum of its proper divisors (25400976).

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

14676864 is a wasteful number, since it uses less digits than its factorization.

14676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1075 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 14676864 is about 3831.0395456064. The cubic root of 14676864 is about 244.8373987033.

The spelling of 14676864 in words is "fourteen million, six hundred seventy-six thousand, eight hundred sixty-four".