12632616 has 24 divisors (see below), whose sum is σ = 34213530. Its totient is φ = 4210848.

The previous prime is 12632597. The next prime is 12632617. The reversal of 12632616 is 61623621.

12632616 is a `hidden beast` number, since 12 + 6 + 32 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7128900 + 5503716 = 2670^2 + 2346^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12632616.

It is not an unprimeable number, because it can be changed into a prime (12632617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87655 + ... + 87798.

Almost surely, 2^12632616 is an apocalyptic number.

It is an amenable number.

12632616 is an abundant number, since it is smaller than the sum of its proper divisors (21580914).

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

12632616 is a wasteful number, since it uses less digits than its factorization.

12632616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175465 (or 175458 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 12632616 is about 3554.2391590888. The cubic root of 12632616 is about 232.8972881359.

The spelling of 12632616 in words is "twelve million, six hundred thirty-two thousand, six hundred sixteen".