27642080 has 48 divisors (see below), whose sum is σ = 67423104. Its totient is φ = 10698240.

The previous prime is 27642061. The next prime is 27642091. The reversal of 27642080 is 8024672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2174 + ... + 7746.

It is an arithmetic number, because the mean of its divisors is an integer number (1404648).

Almost surely, 2^27642080 is an apocalyptic number.

27642080 is a gapful number since it is divisible by the number (20) 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 27642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33711552).

27642080 is an abundant number, since it is smaller than the sum of its proper divisors (39781024).

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

27642080 is a wasteful number, since it uses less digits than its factorization.

27642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 27642080 is about 5257.5735848393. The cubic root of 27642080 is about 302.3594684533.

The spelling of 27642080 in words is "twenty-seven million, six hundred forty-two thousand, eighty".