12567960 has 112 divisors (see below), whose sum is σ = 42495840. Its totient is φ = 3343680.

The previous prime is 12567953. The next prime is 12567977. The reversal of 12567960 is 6976521.

12567960 is a `hidden beast` number, since 1 + 2 + 567 + 96 + 0 = 666.

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 27 ways as a sum of consecutive naturals, for example, 28945 + ... + 29375.

Almost surely, 2^12567960 is an apocalyptic number.

12567960 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 12567960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21247920).

12567960 is an abundant number, since it is smaller than the sum of its proper divisors (29927880).

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

12567960 is an equidigital number, since it uses as much as digits as its factorization.

12567960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 12567960 is about 3545.1318734287. The cubic root of 12567960 is about 232.4992715898.

It can be divided in two parts, 1256 and 7960, that added together give a square (9216 = 96²).

The spelling of 12567960 in words is "twelve million, five hundred sixty-seven thousand, nine hundred sixty".