14010880 has 80 divisors (see below), whose sum is σ = 36263304. Its totient is φ = 5160960.

The previous prime is 14010877. The next prime is 14010883. The reversal of 14010880 is 8801041.

It is an interprime number because it is at equal distance from previous prime (14010877) and next prime (14010883).

It can be written as a sum of positive squares in 4 ways, for example, as 3873024 + 10137856 = 1968^2 + 3184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14010883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33070 + ... + 33490.

Almost surely, 2^14010880 is an apocalyptic number.

14010880 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 14010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131652).

14010880 is an abundant number, since it is smaller than the sum of its proper divisors (22252424).

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

14010880 is an equidigital number, since it uses as much as digits as its factorization.

14010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 14010880 is about 3743.1110055674. Note that the first 3 decimals coincide. The cubic root of 14010880 is about 241.0766444126.

The spelling of 14010880 in words is "fourteen million, ten thousand, eight hundred eighty".