14682960 has 60 divisors (see below), whose sum is σ = 49312692. Its totient is φ = 3915264.

The previous prime is 14682937. The next prime is 14682973. The reversal of 14682960 is 6928641.

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 8088336 = 2568^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 9477 + ... + 10916.

Almost surely, 2^14682960 is an apocalyptic number.

14682960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14682960 is an abundant number, since it is smaller than the sum of its proper divisors (34629732).

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

14682960 is a wasteful number, since it uses less digits than its factorization.

14682960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20412 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14682960 is about 3831.8350695196. The cubic root of 14682960 is about 244.8712915520.

The spelling of 14682960 in words is "fourteen million, six hundred eighty-two thousand, nine hundred sixty".