12345760 has 96 divisors (see below), whose sum is σ = 34013952. Its totient is φ = 4147200.

The previous prime is 12345743. The next prime is 12345769. The reversal of 12345760 is 6754321.

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

It is not an unprimeable number, because it can be changed into a prime (12345769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81685 + ... + 81835.

It is an arithmetic number, because the mean of its divisors is an integer number (354312).

Almost surely, 2^12345760 is an apocalyptic number.

12345760 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 12345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006976).

12345760 is an abundant number, since it is smaller than the sum of its proper divisors (21668192).

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

12345760 is a wasteful number, since it uses less digits than its factorization.

12345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 12345760 is about 3513.6533693579. The cubic root of 12345760 is about 231.1209301658.

The spelling of 12345760 in words is "twelve million, three hundred forty-five thousand, seven hundred sixty".