12380688 has 100 divisors (see below), whose sum is σ = 36864828. Its totient is φ = 4008960.

The previous prime is 12380677. The next prime is 12380699. The reversal of 12380688 is 88608321.

It is an interprime number because it is at equal distance from previous prime (12380677) and next prime (12380699).

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 10969344 = 1188^2 + 3312^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 53020 + ... + 53252.

Almost surely, 2^12380688 is an apocalyptic number.

12380688 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 12380688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18432414).

12380688 is an abundant number, since it is smaller than the sum of its proper divisors (24484140).

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

12380688 is a wasteful number, since it uses less digits than its factorization.

12380688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12380688 is about 3518.6201841063. The cubic root of 12380688 is about 231.3386834926.

Subtracting from 12380688 its product of nonzero digits (18432), we obtain a square (12362256 = 3516²).

The spelling of 12380688 in words is "twelve million, three hundred eighty thousand, six hundred eighty-eight".