14346640 has 160 divisors (see below), whose sum is σ = 44354304. Its totient is φ = 4177920.

The previous prime is 14346613. The next prime is 14346659. The reversal of 14346640 is 4664341.

It is a happy number.

14346640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14346599 and 14346608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104652 + ... + 104788.

Almost surely, 2^14346640 is an apocalyptic number.

14346640 is a gapful number since it is divisible by the number (10) 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 14346640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22177152).

14346640 is an abundant number, since it is smaller than the sum of its proper divisors (30007664).

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

14346640 is a wasteful number, since it uses less digits than its factorization.

14346640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 14346640 is about 3787.6958695228. The cubic root of 14346640 is about 242.9872020446.

The spelling of 14346640 in words is "fourteen million, three hundred forty-six thousand, six hundred forty".