14680638 has 96 divisors (see below), whose sum is σ = 38697984. Its totient is φ = 3934656.

The previous prime is 14680613. The next prime is 14680643. The reversal of 14680638 is 83608641.

It is a happy number.

14680638 is a `hidden beast` number, since 14 + 6 + 8 + 0 + 638 = 666.

It is a super-2 number, since 2×14680638² = 431042264174088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219081 + ... + 219147.

It is an arithmetic number, because the mean of its divisors is an integer number (403104).

Almost surely, 2^14680638 is an apocalyptic number.

14680638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14680638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19348992).

14680638 is an abundant number, since it is smaller than the sum of its proper divisors (24017346).

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

14680638 is a wasteful number, since it uses less digits than its factorization.

14680638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14680638 is about 3831.5320695513. The cubic root of 14680638 is about 244.8583826854.

The spelling of 14680638 in words is "fourteen million, six hundred eighty thousand, six hundred thirty-eight".