14045760 has 84 divisors (see below), whose sum is σ = 48321468. Its totient is φ = 3744768.

The previous prime is 14045753. The next prime is 14045761. The reversal of 14045760 is 6754041.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 9585216 = 2112^2 + 3096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442 + ... + 5318.

Almost surely, 2^14045760 is an apocalyptic number.

14045760 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 14045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24160734).

14045760 is an abundant number, since it is smaller than the sum of its proper divisors (34275708).

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

14045760 is a wasteful number, since it uses less digits than its factorization.

14045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 14045760 is about 3747.7673353611. The cubic root of 14045760 is about 241.2765315752.

The spelling of 14045760 in words is "fourteen million, forty-five thousand, seven hundred sixty".