14114880 has 252 divisors, whose sum is σ = 54383940. Its totient is φ = 3354624.

The previous prime is 14114869. The next prime is 14114887. The reversal of 14114880 is 8841141.

It can be written as a sum of positive squares in 6 ways, for example, as 2663424 + 11451456 = 1632^2 + 3384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486706 + ... + 486734.

Almost surely, 2^14114880 is an apocalyptic number.

14114880 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 14114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27191970).

14114880 is an abundant number, since it is smaller than the sum of its proper divisors (40269060).

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

14114880 is a wasteful number, since it uses less digits than its factorization.

14114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 14114880 is about 3756.9775085832. The cubic root of 14114880 is about 241.6716627320.

The spelling of 14114880 in words is "fourteen million, one hundred fourteen thousand, eight hundred eighty".