14628640 has 72 divisors (see below), whose sum is σ = 37492308. Its totient is φ = 5391360.

The previous prime is 14628631. The next prime is 14628659. The reversal of 14628640 is 4682641.

It can be written as a sum of positive squares in 6 ways, for example, as 1056784 + 13571856 = 1028^2 + 3684^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26770 + ... + 27310.

Almost surely, 2^14628640 is an apocalyptic number.

14628640 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 14628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18746154).

14628640 is an abundant number, since it is smaller than the sum of its proper divisors (22863668).

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

14628640 is a wasteful number, since it uses less digits than its factorization.

14628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 14628640 is about 3824.7405140741. The cubic root of 14628640 is about 244.5689491241.

The spelling of 14628640 in words is "fourteen million, six hundred twenty-eight thousand, six hundred forty".