12985632 has 72 divisors (see below), whose sum is σ = 40294800. Its totient is φ = 3934080.

The previous prime is 12985601. The next prime is 12985633. The reversal of 12985632 is 23658921.

12985632 is a `hidden beast` number, since 1 + 2 + 98 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12985633) 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, 1119 + ... + 5217.

It is an arithmetic number, because the mean of its divisors is an integer number (559650).

Almost surely, 2^12985632 is an apocalyptic number.

12985632 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 12985632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147400).

12985632 is an abundant number, since it is smaller than the sum of its proper divisors (27309168).

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

12985632 is a wasteful number, since it uses less digits than its factorization.

12985632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4115 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12985632 is about 3603.5582415163. The cubic root of 12985632 is about 235.0468112572.

Subtracting 12985632 from its reverse (23658921), we obtain a square (10673289 = 3267²).

The spelling of 12985632 in words is "twelve million, nine hundred eighty-five thousand, six hundred thirty-two".