14886960 has 80 divisors (see below), whose sum is σ = 50353920. Its totient is φ = 3608320.

The previous prime is 14886943. The next prime is 14886961. The reversal of 14886960 is 6968841.

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 (14886961) 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, 180 + ... + 5459.

It is an arithmetic number, because the mean of its divisors is an integer number (629424).

Almost surely, 2^14886960 is an apocalyptic number.

14886960 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 14886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25176960).

14886960 is an abundant number, since it is smaller than the sum of its proper divisors (35466960).

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

14886960 is a wasteful number, since it uses less digits than its factorization.

14886960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 14886960 is about 3858.3623469032. The cubic root of 14886960 is about 246.0001321964. Note that the first 3 decimals are identical.

It can be divided in two parts, 1488 and 6960, that added together give a palindrome (8448).

The spelling of 14886960 in words is "fourteen million, eight hundred eighty-six thousand, nine hundred sixty".