27926560 has 48 divisors (see below), whose sum is σ = 66298176. Its totient is φ = 11116288.

The previous prime is 27926551. The next prime is 27926609. The reversal of 27926560 is 6562972.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55269 + ... + 55771.

It is an arithmetic number, because the mean of its divisors is an integer number (1381212).

Almost surely, 2^27926560 is an apocalyptic number.

27926560 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 27926560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33149088).

27926560 is an abundant number, since it is smaller than the sum of its proper divisors (38371616).

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

27926560 is a wasteful number, since it uses less digits than its factorization.

27926560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 27926560 is about 5284.5586381457. The cubic root of 27926560 is about 303.3931801035.

The spelling of 27926560 in words is "twenty-seven million, nine hundred twenty-six thousand, five hundred sixty".