12387360 has 96 divisors (see below), whose sum is σ = 39517632. Its totient is φ = 3261440.

The previous prime is 12387359. The next prime is 12387377. The reversal of 12387360 is 6378321.

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

It is a super-4 number, since 4×12387360⁴ (a number of 29 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62782 + ... + 62978.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 2^12387360 is an apocalyptic number.

12387360 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 12387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758816).

12387360 is an abundant number, since it is smaller than the sum of its proper divisors (27130272).

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

12387360 is a wasteful number, since it uses less digits than its factorization.

12387360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 12387360 is about 3519.5681553282. The cubic root of 12387360 is about 231.3802324629.

The spelling of 12387360 in words is "twelve million, three hundred eighty-seven thousand, three hundred sixty".