14287680 has 252 divisors, whose sum is σ = 55334916. Its totient is φ = 3379200.

The previous prime is 14287657. The next prime is 14287681. The reversal of 14287680 is 8678241.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 11778624 = 1584^2 + 3432^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14287681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348460 + ... + 348500.

It is an arithmetic number, because the mean of its divisors is an integer number (219583).

Almost surely, 2^14287680 is an apocalyptic number.

14287680 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 14287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27667458).

14287680 is an abundant number, since it is smaller than the sum of its proper divisors (41047236).

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

14287680 is a wasteful number, since it uses less digits than its factorization.

14287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

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

The square root of 14287680 is about 3779.9047607050. The cubic root of 14287680 is about 242.6538790240.

The spelling of 14287680 in words is "fourteen million, two hundred eighty-seven thousand, six hundred eighty".