12742632 has 96 divisors (see below), whose sum is σ = 39948480. Its totient is φ = 3594240.

The previous prime is 12742627. The next prime is 12742633. The reversal of 12742632 is 23624721.

12742632 is a `hidden beast` number, since 1 + 27 + 4 + 2 + 632 = 666.

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

Its product of digits (4032) is a multiple of the sum of its prime divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 12742596 and 12742605.

It is not an unprimeable number, because it can be changed into a prime (12742633) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 65928 + ... + 66120.

It is an arithmetic number, because the mean of its divisors is an integer number (416130).

Almost surely, 2^12742632 is an apocalyptic number.

12742632 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 12742632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974240).

12742632 is an abundant number, since it is smaller than the sum of its proper divisors (27205848).

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

12742632 is a wasteful number, since it uses less digits than its factorization.

12742632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 12742632 is about 3569.6823388083. The cubic root of 12742632 is about 233.5714268079.

The spelling of 12742632 in words is "twelve million, seven hundred forty-two thousand, six hundred thirty-two".