14838680 has 48 divisors (see below), whose sum is σ = 35115120. Its totient is φ = 5632704.

The previous prime is 14838673. The next prime is 14838689. The reversal of 14838680 is 8683841.

14838680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14838689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116777 + ... + 116903.

It is an arithmetic number, because the mean of its divisors is an integer number (731565).

Almost surely, 2^14838680 is an apocalyptic number.

14838680 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 14838680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557560).

14838680 is an abundant number, since it is smaller than the sum of its proper divisors (20276440).

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

14838680 is a wasteful number, since it uses less digits than its factorization.

14838680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 14838680 is about 3852.1007255782. The cubic root of 14838680 is about 245.7339092983.

The spelling of 14838680 in words is "fourteen million, eight hundred thirty-eight thousand, six hundred eighty".