14876960 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 4948992.

The previous prime is 14876951. The next prime is 14877007. The reversal of 14876960 is 6967841.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41261 + ... + 41619.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^14876960 is an apocalyptic number.

14876960 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 14876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

14876960 is an abundant number, since it is smaller than the sum of its proper divisors (26491360).

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

14876960 is a wasteful number, since it uses less digits than its factorization.

14876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 14876960 is about 3857.0662426253. The cubic root of 14876960 is about 245.9450380660.

The spelling of 14876960 in words is "fourteen million, eight hundred seventy-six thousand, nine hundred sixty".