14808640 has 112 divisors (see below), whose sum is σ = 44037504. Its totient is φ = 4608000.

The previous prime is 14808637. The next prime is 14808659. The reversal of 14808640 is 4680841.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 24340 + ... + 24940.

It is an arithmetic number, because the mean of its divisors is an integer number (393192).

Almost surely, 2^14808640 is an apocalyptic number.

14808640 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 14808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22018752).

14808640 is an abundant number, since it is smaller than the sum of its proper divisors (29228864).

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

14808640 is a wasteful number, since it uses less digits than its factorization.

14808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 14808640 is about 3848.1995790239. The cubic root of 14808640 is about 245.5679728491.

The spelling of 14808640 in words is "fourteen million, eight hundred eight thousand, six hundred forty".