12544632 has 72 divisors (see below), whose sum is σ = 35427600. Its totient is φ = 4164048.

The previous prime is 12544621. The next prime is 12544663. The reversal of 12544632 is 23644521.

12544632 is a `hidden beast` number, since 1 + 25 + 4 + 4 + 632 = 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 12544596 and 12544605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52369 + ... + 52607.

It is an arithmetic number, because the mean of its divisors is an integer number (492050).

Almost surely, 2^12544632 is an apocalyptic number.

12544632 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 12544632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713800).

12544632 is an abundant number, since it is smaller than the sum of its proper divisors (22882968).

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

12544632 is an frugal number, since it uses more digits than its factorization.

12544632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 12544632 is about 3541.8401996702. The cubic root of 12544632 is about 232.3553314375.

It can be divided in two parts, 1254 and 4632, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 12544632 in words is "twelve million, five hundred forty-four thousand, six hundred thirty-two".