12284640 has 144 divisors (see below), whose sum is σ = 44226000. Its totient is φ = 3096576.

The previous prime is 12284639. The next prime is 12284641. The reversal of 12284640 is 4648221.

12284640 is a `hidden beast` number, since 12 + 2 + 8 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (12284639) and next prime (12284641).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12284641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27136 + ... + 27584.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 2^12284640 is an apocalyptic number.

12284640 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 12284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22113000).

12284640 is an abundant number, since it is smaller than the sum of its proper divisors (31941360).

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

12284640 is a wasteful number, since it uses less digits than its factorization.

12284640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

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

The square root of 12284640 is about 3504.9450780290. The cubic root of 12284640 is about 230.7388965256.

The spelling of 12284640 in words is "twelve million, two hundred eighty-four thousand, six hundred forty".