14763680 has 48 divisors (see below), whose sum is σ = 35557704. Its totient is φ = 5790720.

The previous prime is 14763659. The next prime is 14763689. The reversal of 14763680 is 8636741.

It can be written as a sum of positive squares in 4 ways, for example, as 8271376 + 6492304 = 2876^2 + 2548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14763680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14763689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7610 + ... + 9350.

Almost surely, 2^14763680 is an apocalyptic number.

14763680 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 14763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778852).

14763680 is an abundant number, since it is smaller than the sum of its proper divisors (20794024).

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

14763680 is a wasteful number, since it uses less digits than its factorization.

14763680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 14763680 is about 3842.3534454810. The cubic root of 14763680 is about 245.3192007717.

The spelling of 14763680 in words is "fourteen million, seven hundred sixty-three thousand, six hundred eighty".