14348880 has 320 divisors, whose sum is σ = 61662720. Its totient is φ = 2985984.

The previous prime is 14348879. The next prime is 14348891. The reversal of 14348880 is 8884341.

14348880 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196524 + ... + 196596.

It is an arithmetic number, because the mean of its divisors is an integer number (192696).

Almost surely, 2^14348880 is an apocalyptic number.

14348880 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 14348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831360).

14348880 is an abundant number, since it is smaller than the sum of its proper divisors (47313840).

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

14348880 is a wasteful number, since it uses less digits than its factorization.

14348880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 14348880 is about 3787.9915522609. The cubic root of 14348880 is about 242.9998475841. Note that the first 3 decimals are identical.

The spelling of 14348880 in words is "fourteen million, three hundred forty-eight thousand, eight hundred eighty".