14715680 has 72 divisors (see below), whose sum is σ = 40463388. Its totient is φ = 5042688.

The previous prime is 14715661. The next prime is 14715691. The reversal of 14715680 is 8651741.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14714896 + 784 = 3836^2 + 28^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6902 + ... + 8778.

Almost surely, 2^14715680 is an apocalyptic number.

14715680 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 14715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20231694).

14715680 is an abundant number, since it is smaller than the sum of its proper divisors (25747708).

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

14715680 is a wasteful number, since it uses less digits than its factorization.

14715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 14715680 is about 3836.1021884199. The cubic root of 14715680 is about 245.0530497368.

The spelling of 14715680 in words is "fourteen million, seven hundred fifteen thousand, six hundred eighty".