12879360 has 240 divisors, whose sum is σ = 49153104. Its totient is φ = 3096576.

The previous prime is 12879337. The next prime is 12879389. The reversal of 12879360 is 6397821.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 299499 + ... + 299541.

Almost surely, 2^12879360 is an apocalyptic number.

12879360 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 12879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24576552).

12879360 is an abundant number, since it is smaller than the sum of its proper divisors (36273744).

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

12879360 is a wasteful number, since it uses less digits than its factorization.

12879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 66 counting only the distinct ones).

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

The square root of 12879360 is about 3588.7825233636. The cubic root of 12879360 is about 234.4038609792.

The spelling of 12879360 in words is "twelve million, eight hundred seventy-nine thousand, three hundred sixty".