14616960 has 128 divisors (see below), whose sum is σ = 48764160. Its totient is φ = 3717120.

The previous prime is 14616929. The next prime is 14616967. The reversal of 14616960 is 6961641.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14616967) 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, 43995 + ... + 44325.

It is an arithmetic number, because the mean of its divisors is an integer number (380970).

Almost surely, 2^14616960 is an apocalyptic number.

14616960 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 14616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24382080).

14616960 is an abundant number, since it is smaller than the sum of its proper divisors (34147200).

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

14616960 is a wasteful number, since it uses less digits than its factorization.

14616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 14616960 is about 3823.2133082003. The cubic root of 14616960 is about 244.5038410912.

It can be divided in two parts, 14616 and 960, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 14616960 in words is "fourteen million, six hundred sixteen thousand, nine hundred sixty".