14664960 has 216 divisors, whose sum is σ = 54206880. Its totient is φ = 3649536.

The previous prime is 14664919. The next prime is 14664973. The reversal of 14664960 is 6946641.

14664960 is a `hidden beast` number, since 1 + 4 + 6 + 649 + 6 + 0 = 666.

It is a super-2 number, since 2×14664960² = 430122103603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 218847 + ... + 218913.

Almost surely, 2^14664960 is an apocalyptic number.

14664960 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 14664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27103440).

14664960 is an abundant number, since it is smaller than the sum of its proper divisors (39541920).

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

14664960 is a wasteful number, since it uses less digits than its factorization.

14664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 14664960 is about 3829.4856051433. The cubic root of 14664960 is about 244.7711871766.

The spelling of 14664960 in words is "fourteen million, six hundred sixty-four thousand, nine hundred sixty".