27442632 has 64 divisors (see below), whose sum is σ = 78796800. Its totient is φ = 7801920.

The previous prime is 27442627. The next prime is 27442651. The reversal of 27442632 is 23624472.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27442632.

It is an unprimeable number.

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, 63457 + ... + 63887.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^27442632 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 27442632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39398400).

27442632 is an abundant number, since it is smaller than the sum of its proper divisors (51354168).

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

27442632 is a wasteful number, since it uses less digits than its factorization.

27442632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 27442632 is about 5238.5715610269. The cubic root of 27442632 is about 301.6304999562.

The spelling of 27442632 in words is "twenty-seven million, four hundred forty-two thousand, six hundred thirty-two".