14946960 has 240 divisors, whose sum is σ = 56996352. Its totient is φ = 3225600.

The previous prime is 14946959. The next prime is 14946973. The reversal of 14946960 is 6964941.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×14946960³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364540 + ... + 364580.

Almost surely, 2^14946960 is an apocalyptic number.

14946960 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 14946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

14946960 is an abundant number, since it is smaller than the sum of its proper divisors (42049392).

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

14946960 is a wasteful number, since it uses less digits than its factorization.

14946960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 14946960 is about 3866.1298477935. The cubic root of 14946960 is about 246.3301799421.

The spelling of 14946960 in words is "fourteen million, nine hundred forty-six thousand, nine hundred sixty".