12285680 has 80 divisors (see below), whose sum is σ = 32569344. Its totient is φ = 4266240.

The previous prime is 12285677. The next prime is 12285683. The reversal of 12285680 is 8658221.

It is an interprime number because it is at equal distance from previous prime (12285677) and next prime (12285683).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12285683) 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, 19937 + ... + 20543.

Almost surely, 2^12285680 is an apocalyptic number.

12285680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12285680 is the 2024-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16284672).

12285680 is an abundant number, since it is smaller than the sum of its proper divisors (20283664).

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

12285680 is a wasteful number, since it uses less digits than its factorization.

12285680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 12285680 is about 3505.0934367004. The cubic root of 12285680 is about 230.7454076832.

The spelling of 12285680 in words is "twelve million, two hundred eighty-five thousand, six hundred eighty".