14834080 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 5440512.

The previous prime is 14834069. The next prime is 14834123. The reversal of 14834080 is 8043841.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106651 + ... + 106789.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^14834080 is an apocalyptic number.

14834080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14834080 is the 2224-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14834080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

14834080 is an abundant number, since it is smaller than the sum of its proper divisors (23268320).

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

14834080 is a wasteful number, since it uses less digits than its factorization.

14834080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14834080 is about 3851.5036024909. The cubic root of 14834080 is about 245.7085141192.

The spelling of 14834080 in words is "fourteen million, eight hundred thirty-four thousand, eighty".