12346080 has 144 divisors (see below), whose sum is σ = 41776560. Its totient is φ = 3063808.

The previous prime is 12346073. The next prime is 12346099. The reversal of 12346080 is 8064321.

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 12346080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138676 + ... + 138764.

It is an arithmetic number, because the mean of its divisors is an integer number (290115).

Almost surely, 2^12346080 is an apocalyptic number.

12346080 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 12346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20888280).

12346080 is an abundant number, since it is smaller than the sum of its proper divisors (29430480).

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

12346080 is a wasteful number, since it uses less digits than its factorization.

12346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

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

The square root of 12346080 is about 3513.6989057118. The cubic root of 12346080 is about 231.1229270203.

The spelling of 12346080 in words is "twelve million, three hundred forty-six thousand, eighty".