14834664 has 96 divisors (see below), whose sum is σ = 44946720. Its totient is φ = 4556736.

The previous prime is 14834641. The next prime is 14834681. The reversal of 14834664 is 46643841.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24979 + ... + 25565.

It is an arithmetic number, because the mean of its divisors is an integer number (468195).

Almost surely, 2^14834664 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 14834664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22473360).

14834664 is an abundant number, since it is smaller than the sum of its proper divisors (30112056).

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

14834664 is a wasteful number, since it uses less digits than its factorization.

14834664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 14834664 is about 3851.5794162915. The cubic root of 14834664 is about 245.7117384938.

The spelling of 14834664 in words is "fourteen million, eight hundred thirty-four thousand, six hundred sixty-four".