12263680 has 144 divisors (see below), whose sum is σ = 35025984. Its totient is φ = 4055040.

The previous prime is 12263677. The next prime is 12263689. The reversal of 12263680 is 8636221.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263689) 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, 183007 + ... + 183073.

It is an arithmetic number, because the mean of its divisors is an integer number (243236).

Almost surely, 2^12263680 is an apocalyptic number.

12263680 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 12263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512992).

12263680 is an abundant number, since it is smaller than the sum of its proper divisors (22762304).

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

12263680 is a wasteful number, since it uses less digits than its factorization.

12263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 12263680 is about 3501.9537404141. The cubic root of 12263680 is about 230.6075932495.

The spelling of 12263680 in words is "twelve million, two hundred sixty-three thousand, six hundred eighty".