14827680 has 144 divisors (see below), whose sum is σ = 57867264. Its totient is φ = 3386880.

The previous prime is 14827669. The next prime is 14827721. The reversal of 14827680 is 8672841.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9345 + ... + 10815.

It is an arithmetic number, because the mean of its divisors is an integer number (401856).

Almost surely, 2^14827680 is an apocalyptic number.

14827680 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 14827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28933632).

14827680 is an abundant number, since it is smaller than the sum of its proper divisors (43039584).

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

14827680 is a wasteful number, since it uses less digits than its factorization.

14827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14827680 is about 3850.6726685087. The cubic root of 14827680 is about 245.6731729612.

The spelling of 14827680 in words is "fourteen million, eight hundred twenty-seven thousand, six hundred eighty".