14863680 has 168 divisors, whose sum is σ = 55196232. Its totient is φ = 3649536.

The previous prime is 14863679. The next prime is 14863697. The reversal of 14863680 is 8636841.

It is a happy number.

14863680 is a `hidden beast` number, since 14 + 8 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 14197824 = 816^2 + 3768^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37242 + ... + 37638.

It is an arithmetic number, because the mean of its divisors is an integer number (328549).

Almost surely, 2^14863680 is an apocalyptic number.

14863680 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 14863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27598116).

14863680 is an abundant number, since it is smaller than the sum of its proper divisors (40332552).

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

14863680 is a wasteful number, since it uses less digits than its factorization.

14863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 420 counting only the distinct ones).

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

The square root of 14863680 is about 3855.3443425977. The cubic root of 14863680 is about 245.8718348839.

The spelling of 14863680 in words is "fourteen million, eight hundred sixty-three thousand, six hundred eighty".