14512960 has 224 divisors, whose sum is σ = 46817280. Its totient is φ = 4147200.

The previous prime is 14512943. The next prime is 14512961. The reversal of 14512960 is 6921541.

14512960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14512961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468145 + ... + 468175.

Almost surely, 2^14512960 is an apocalyptic number.

14512960 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 14512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

14512960 is an abundant number, since it is smaller than the sum of its proper divisors (32304320).

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

14512960 is a wasteful number, since it uses less digits than its factorization.

14512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 14512960 is about 3809.5879042227. The cubic root of 14512960 is about 243.9225768869.

The spelling of 14512960 in words is "fourteen million, five hundred twelve thousand, nine hundred sixty".