12682368 has 96 divisors (see below), whose sum is σ = 37194300. Its totient is φ = 4147200.

The previous prime is 12682343. The next prime is 12682381. The reversal of 12682368 is 86328621.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 1871424 = 3288^2 + 1368^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116298 + ... + 116406.

Almost surely, 2^12682368 is an apocalyptic number.

12682368 is a gapful number since it is divisible by the number (18) 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 12682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597150).

12682368 is an abundant number, since it is smaller than the sum of its proper divisors (24511932).

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

12682368 is a wasteful number, since it uses less digits than its factorization.

12682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12682368 is about 3561.2312477569. The cubic root of 12682368 is about 233.2026333790.

The spelling of 12682368 in words is "twelve million, six hundred eighty-two thousand, three hundred sixty-eight".