14009760 has 240 divisors, whose sum is σ = 52690176. Its totient is φ = 3497472.

The previous prime is 14009753. The next prime is 14009771. The reversal of 14009760 is 6790041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 298057 + ... + 298103.

Almost surely, 2^14009760 is an apocalyptic number.

14009760 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 14009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26345088).

14009760 is an abundant number, since it is smaller than the sum of its proper divisors (38680416).

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

14009760 is a wasteful number, since it uses less digits than its factorization.

14009760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14009760 is about 3742.9613944042. The cubic root of 14009760 is about 241.0702205230.

The spelling of 14009760 in words is "fourteen million, nine thousand, seven hundred sixty".