14806960 has 80 divisors (see below), whose sum is σ = 39836736. Its totient is φ = 5013504.

The previous prime is 14806943. The next prime is 14806969. The reversal of 14806960 is 6960841.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (14806969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76624 + ... + 76816.

Almost surely, 2^14806960 is an apocalyptic number.

14806960 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 14806960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19918368).

14806960 is an abundant number, since it is smaller than the sum of its proper divisors (25029776).

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

14806960 is a wasteful number, since it uses less digits than its factorization.

14806960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 14806960 is about 3847.9812889358. The cubic root of 14806960 is about 245.5586861580.

The spelling of 14806960 in words is "fourteen million, eight hundred six thousand, nine hundred sixty".