14823680 has 72 divisors (see below), whose sum is σ = 36583512. Its totient is φ = 5750784.

The previous prime is 14823649. The next prime is 14823703. The reversal of 14823680 is 8632841.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 14258176 = 752^2 + 3776^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 47204 + ... + 47516.

Almost surely, 2^14823680 is an apocalyptic number.

14823680 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 14823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18291756).

14823680 is an abundant number, since it is smaller than the sum of its proper divisors (21759832).

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

14823680 is an equidigital number, since it uses as much as digits as its factorization.

14823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 14823680 is about 3850.1532437034. The cubic root of 14823680 is about 245.6510795730.

The spelling of 14823680 in words is "fourteen million, eight hundred twenty-three thousand, six hundred eighty".