12400560 has 80 divisors (see below), whose sum is σ = 42720480. Its totient is φ = 3306240.

The previous prime is 12400547. The next prime is 12400567. The reversal of 12400560 is 6500421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12400567) 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, 711 + ... + 5030.

It is an arithmetic number, because the mean of its divisors is an integer number (534006).

Almost surely, 2^12400560 is an apocalyptic number.

12400560 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 12400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21360240).

12400560 is an abundant number, since it is smaller than the sum of its proper divisors (30319920).

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

12400560 is a wasteful number, since it uses less digits than its factorization.

12400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5763 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12400560 is about 3521.4428860909. The cubic root of 12400560 is about 231.4623897277.

Adding to 12400560 its reverse (6500421), we get a palindrome (18900981).

The spelling of 12400560 in words is "twelve million, four hundred thousand, five hundred sixty".