14084640 has 72 divisors (see below), whose sum is σ = 48068748. Its totient is φ = 3755520.

The previous prime is 14084639. The next prime is 14084641. The reversal of 14084640 is 4648041.

14084640 is a `hidden beast` number, since 14 + 0 + 8 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (14084639) and next prime (14084641).

It can be written as a sum of positive squares in 2 ways, for example, as 13927824 + 156816 = 3732^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14084641) 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 11 ways as a sum of consecutive naturals, for example, 3451 + ... + 6330.

Almost surely, 2^14084640 is an apocalyptic number.

14084640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14084640 is an abundant number, since it is smaller than the sum of its proper divisors (33984108).

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

14084640 is a wasteful number, since it uses less digits than its factorization.

14084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14084640 is about 3752.9508390066. The cubic root of 14084640 is about 241.4989519392.

The spelling of 14084640 in words is "fourteen million, eighty-four thousand, six hundred forty".