14346864 has 120 divisors (see below), whose sum is σ = 47096192. Its totient is φ = 3991680.

The previous prime is 14346863. The next prime is 14346869. The reversal of 14346864 is 46864341.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346863) 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 23 ways as a sum of consecutive naturals, for example, 43179 + ... + 43509.

Almost surely, 2^14346864 is an apocalyptic number.

14346864 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 14346864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23548096).

14346864 is an abundant number, since it is smaller than the sum of its proper divisors (32749328).

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

14346864 is a wasteful number, since it uses less digits than its factorization.

14346864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

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

The square root of 14346864 is about 3787.7254388353. The cubic root of 14346864 is about 242.9884666578.

The spelling of 14346864 in words is "fourteen million, three hundred forty-six thousand, eight hundred sixty-four".