12661632 has 96 divisors (see below), whose sum is σ = 37791000. Its totient is φ = 4064256.

The previous prime is 12661613. The next prime is 12661633. The reversal of 12661632 is 23616621.

12661632 is a `hidden beast` number, since 1 + 26 + 6 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 12661596 and 12661605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33219 + ... + 33597.

Almost surely, 2^12661632 is an apocalyptic number.

12661632 is a gapful number since it is divisible by the number (12) 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 12661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18895500).

12661632 is an abundant number, since it is smaller than the sum of its proper divisors (25129368).

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

12661632 is a wasteful number, since it uses less digits than its factorization.

12661632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

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

The square root of 12661632 is about 3558.3187041073. The cubic root of 12661632 is about 233.0754665993.

The spelling of 12661632 in words is "twelve million, six hundred sixty-one thousand, six hundred thirty-two".