14294688 has 96 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 4239360.

The previous prime is 14294681. The next prime is 14294729. The reversal of 14294688 is 88649241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (14294681) 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 15 ways as a sum of consecutive naturals, for example, 30778 + ... + 31238.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 2^14294688 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 14294688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

14294688 is an abundant number, since it is smaller than the sum of its proper divisors (27617952).

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

14294688 is a wasteful number, since it uses less digits than its factorization.

14294688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 14294688 is about 3780.8316545437. The cubic root of 14294688 is about 242.6935458425.

It can be divided in two parts, 142 and 94688, that added together give a triangular number (94830 = T₄₃₅).

The spelling of 14294688 in words is "fourteen million, two hundred ninety-four thousand, six hundred eighty-eight".