13845760 has 72 divisors (see below), whose sum is σ = 34400520. Its totient is φ = 5332992.

The previous prime is 13845757. The next prime is 13845761. The reversal of 13845760 is 6754831.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 12166144 = 1296^2 + 3488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13845761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36934 + ... + 37306.

It is an arithmetic number, because the mean of its divisors is an integer number (477785).

Almost surely, 2^13845760 is an apocalyptic number.

13845760 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 13845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200260).

13845760 is an abundant number, since it is smaller than the sum of its proper divisors (20554760).

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

13845760 is an equidigital number, since it uses as much as digits as its factorization.

13845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 13845760 is about 3720.9891158132. The cubic root of 13845760 is about 240.1258599114.

The spelling of 13845760 in words is "thirteen million, eight hundred forty-five thousand, seven hundred sixty".