12378960 has 160 divisors (see below), whose sum is σ = 46604160. Its totient is φ = 2995200.

The previous prime is 12378917. The next prime is 12378997. The reversal of 12378960 is 6987321.

12378960 is digitally balanced in base 2, because in such base 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23500 + ... + 24020.

It is an arithmetic number, because the mean of its divisors is an integer number (291276).

Almost surely, 2^12378960 is an apocalyptic number.

12378960 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 12378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23302080).

12378960 is an abundant number, since it is smaller than the sum of its proper divisors (34225200).

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

12378960 is a wasteful number, since it uses less digits than its factorization.

12378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12378960 is about 3518.3746247380. The cubic root of 12378960 is about 231.3279201746.

The spelling of 12378960 in words is "twelve million, three hundred seventy-eight thousand, nine hundred sixty".