14004880 has 20 divisors (see below), whose sum is σ = 32561532. Its totient is φ = 5601920.

The previous prime is 14004853. The next prime is 14004899. The reversal of 14004880 is 8840041.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 12166144 = 1356^2 + 3488^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×14004880² = 392273327628800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87451 + ... + 87610.

Almost surely, 2^14004880 is an apocalyptic number.

14004880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004880 is an abundant number, since it is smaller than the sum of its proper divisors (18556652).

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

14004880 is a wasteful number, since it uses less digits than its factorization.

14004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175074 (or 175068 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 14004880 is about 3742.3094473867. The cubic root of 14004880 is about 241.0422267221.

It can be divided in two parts, 14004 and 880, that added together give a square (14884 = 122²).

The spelling of 14004880 in words is "fourteen million, four thousand, eight hundred eighty".