14390880 has 96 divisors (see below), whose sum is σ = 51819264. Its totient is φ = 3288576.

The previous prime is 14390879. The next prime is 14390881. The reversal of 14390880 is 8809341.

14390880 = T₁₆₁ + T₁₆₂ + ... + T₄₄₈.

14390880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14390879) and next prime (14390881).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14390881) 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, 1219 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (539784).

Almost surely, 2^14390880 is an apocalyptic number.

14390880 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 14390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909632).

14390880 is an abundant number, since it is smaller than the sum of its proper divisors (37428384).

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

14390880 is a wasteful number, since it uses less digits than its factorization.

14390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 14390880 is about 3793.5313363672. The cubic root of 14390880 is about 243.2367081594.

The spelling of 14390880 in words is "fourteen million, three hundred ninety thousand, eight hundred eighty".