27126832 has 80 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 11612160.

The previous prime is 27126817. The next prime is 27126839. The reversal of 27126832 is 23862172.

It is a junction number, because it is equal to n+sod(n) for n = 27126794 and 27126803.

It is not an unprimeable number, because it can be changed into a prime (27126839) 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 15 ways as a sum of consecutive naturals, for example, 149782 + ... + 149962.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^27126832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27126832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

27126832 is an abundant number, since it is smaller than the sum of its proper divisors (33806768).

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

27126832 is a wasteful number, since it uses less digits than its factorization.

27126832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 27126832 is about 5208.3425386585. The cubic root of 27126832 is about 300.4690145173.

The spelling of 27126832 in words is "twenty-seven million, one hundred twenty-six thousand, eight hundred thirty-two".