14814960 has 40 divisors (see below), whose sum is σ = 45927120. Its totient is φ = 3950592.

The previous prime is 14814941. The next prime is 14814971. The reversal of 14814960 is 6941841.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30625 + ... + 31104.

It is an arithmetic number, because the mean of its divisors is an integer number (1148178).

Almost surely, 2^14814960 is an apocalyptic number.

14814960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14814960 is an abundant number, since it is smaller than the sum of its proper divisors (31112160).

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

14814960 is a wasteful number, since it uses less digits than its factorization.

14814960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61745 (or 61739 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 14814960 is about 3849.0206546601. The cubic root of 14814960 is about 245.6029022069.

It can be divided in two parts, 1481 and 4960, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 14814960 in words is "fourteen million, eight hundred fourteen thousand, nine hundred sixty".