14009680 has 40 divisors (see below), whose sum is σ = 33459912. Its totient is φ = 5451264.

The previous prime is 14009663. The next prime is 14009689. The reversal of 14009680 is 8690041.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 12138256 = 1368^2 + 3484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×14009680² = 392542267404800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14009689) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 594 + ... + 5326.

Almost surely, 2^14009680 is an apocalyptic number.

14009680 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 14009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729956).

14009680 is an abundant number, since it is smaller than the sum of its proper divisors (19450232).

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

14009680 is a wasteful number, since it uses less digits than its factorization.

14009680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 14009680 is about 3742.9507076637. The cubic root of 14009680 is about 241.0697616607.

The spelling of 14009680 in words is "fourteen million, nine thousand, six hundred eighty".