14349680 has 40 divisors (see below), whose sum is σ = 33581184. Its totient is φ = 5702400.

The previous prime is 14349679. The next prime is 14349689. The reversal of 14349680 is 8694341.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×14349680² = 411826632204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14349680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14349689) 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, 13985 + ... + 14975.

Almost surely, 2^14349680 is an apocalyptic number.

14349680 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 14349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790592).

14349680 is an abundant number, since it is smaller than the sum of its proper divisors (19231504).

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

14349680 is a wasteful number, since it uses less digits than its factorization.

14349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 14349680 is about 3788.0971476455. The cubic root of 14349680 is about 243.0043635293.

The spelling of 14349680 in words is "fourteen million, three hundred forty-nine thousand, six hundred eighty".