12405960 has 160 divisors (see below), whose sum is σ = 47741760. Its totient is φ = 2830464.

The previous prime is 12405949. The next prime is 12405961. The reversal of 12405960 is 6950421.

12405960 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

12405960 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12405961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22407 + ... + 22953.

It is an arithmetic number, because the mean of its divisors is an integer number (298386).

Almost surely, 2^12405960 is an apocalyptic number.

12405960 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 12405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870880).

12405960 is an abundant number, since it is smaller than the sum of its proper divisors (35335800).

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

12405960 is a wasteful number, since it uses less digits than its factorization.

12405960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12405960 is about 3522.2095338012. The cubic root of 12405960 is about 231.4959827139.

The spelling of 12405960 in words is "twelve million, four hundred five thousand, nine hundred sixty".