12306840 has 256 divisors, whose sum is σ = 48384000. Its totient is φ = 2483712.

The previous prime is 12306839. The next prime is 12306859. The reversal of 12306840 is 4860321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12306840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535069 + ... + 535091.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^12306840 is an apocalyptic number.

12306840 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 12306840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

12306840 is an abundant number, since it is smaller than the sum of its proper divisors (36077160).

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

12306840 is a wasteful number, since it uses less digits than its factorization.

12306840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12306840 is about 3508.1106025894. The cubic root of 12306840 is about 230.8778049775.

The spelling of 12306840 in words is "twelve million, three hundred six thousand, eight hundred forty".