12248640 has 84 divisors (see below), whose sum is σ = 42140124. Its totient is φ = 3265536.

The previous prime is 12248633. The next prime is 12248647. The reversal of 12248640 is 4684221.

12248640 is a `hidden beast` number, since 12 + 2 + 4 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (12248633) and next prime (12248647).

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 9585216 = 1632^2 + 3096^2 .

It is not an unprimeable number, because it can be changed into a prime (12248647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 754 + ... + 5006.

Almost surely, 2^12248640 is an apocalyptic number.

12248640 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 12248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21070062).

12248640 is an abundant number, since it is smaller than the sum of its proper divisors (29891484).

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

12248640 is a wasteful number, since it uses less digits than its factorization.

12248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12248640 is about 3499.8057088930. The cubic root of 12248640 is about 230.5132834119.

The spelling of 12248640 in words is "twelve million, two hundred forty-eight thousand, six hundred forty".