12287616 has 64 divisors (see below), whose sum is σ = 35618400. Its totient is φ = 3722240.

The previous prime is 12287609. The next prime is 12287641. The reversal of 12287616 is 61678221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2770 + ... + 5678.

Almost surely, 2^12287616 is an apocalyptic number.

12287616 is a gapful number since it is divisible by the number (16) 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 12287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809200).

12287616 is an abundant number, since it is smaller than the sum of its proper divisors (23330784).

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

12287616 is a wasteful number, since it uses less digits than its factorization.

12287616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2925 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 12287616 is about 3505.3695953494. The cubic root of 12287616 is about 230.7575274749.

The spelling of 12287616 in words is "twelve million, two hundred eighty-seven thousand, six hundred sixteen".