14124960 has 144 divisors (see below), whose sum is σ = 51125256. Its totient is φ = 3538944.

The previous prime is 14124959. The next prime is 14124997. The reversal of 14124960 is 6942141.

14124960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 17424 = 3756^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24192 + ... + 24768.

Almost surely, 2^14124960 is an apocalyptic number.

14124960 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 14124960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25562628).

14124960 is an abundant number, since it is smaller than the sum of its proper divisors (37000296).

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

14124960 is a wasteful number, since it uses less digits than its factorization.

14124960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14124960 is about 3758.3187730686. The cubic root of 14124960 is about 241.7291781742.

It can be divided in two parts, 1 and 4124960, that added together give a square (4124961 = 2031²).

The spelling of 14124960 in words is "fourteen million, one hundred twenty-four thousand, nine hundred sixty".