14418880 has 112 divisors (see below), whose sum is σ = 40453056. Its totient is φ = 4792320.

The previous prime is 14418871. The next prime is 14418883. The reversal of 14418880 is 8881441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14418883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91762 + ... + 91918.

It is an arithmetic number, because the mean of its divisors is an integer number (361188).

Almost surely, 2^14418880 is an apocalyptic number.

14418880 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 14418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20226528).

14418880 is an abundant number, since it is smaller than the sum of its proper divisors (26034176).

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

14418880 is a wasteful number, since it uses less digits than its factorization.

14418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 14418880 is about 3797.2200357630. The cubic root of 14418880 is about 243.3943592899.

The spelling of 14418880 in words is "fourteen million, four hundred eighteen thousand, eight hundred eighty".