14290080 has 96 divisors (see below), whose sum is σ = 51456384. Its totient is φ = 3265536.

The previous prime is 14290057. The next prime is 14290091. The reversal of 14290080 is 8009241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14290080.

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, 1234 + ... + 5486.

It is an arithmetic number, because the mean of its divisors is an integer number (536004).

Almost surely, 2^14290080 is an apocalyptic number.

14290080 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 14290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25728192).

14290080 is an abundant number, since it is smaller than the sum of its proper divisors (37166304).

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

14290080 is a wasteful number, since it uses less digits than its factorization.

14290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 14290080 is about 3780.2222156905. Note that the first 4 decimals coincide. The cubic root of 14290080 is about 242.6674650110.

The spelling of 14290080 in words is "fourteen million, two hundred ninety thousand, eighty".