12867360 has 96 divisors (see below), whose sum is σ = 44235072. Its totient is φ = 3118080.

The previous prime is 12867343. The next prime is 12867367. The reversal of 12867360 is 6376821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12867367) 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, 4062 + ... + 6498.

It is an arithmetic number, because the mean of its divisors is an integer number (460782).

Almost surely, 2^12867360 is an apocalyptic number.

12867360 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 12867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22117536).

12867360 is an abundant number, since it is smaller than the sum of its proper divisors (31367712).

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

12867360 is a wasteful number, since it uses less digits than its factorization.

12867360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 12867360 is about 3587.1102575750. The cubic root of 12867360 is about 234.3310385103.

It can be divided in two parts, 1286 and 7360, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 12867360 in words is "twelve million, eight hundred sixty-seven thousand, three hundred sixty".