27722560 has 56 divisors (see below), whose sum is σ = 67656456. Its totient is φ = 10813440.

The previous prime is 27722537. The next prime is 27722561. The reversal of 27722560 is 6522772.

It can be written as a sum of positive squares in 4 ways, for example, as 3041536 + 24681024 = 1744^2 + 4968^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27722561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12064 + ... + 14176.

It is an arithmetic number, because the mean of its divisors is an integer number (1208151).

Almost surely, 2^27722560 is an apocalyptic number.

27722560 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 27722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33828228).

27722560 is an abundant number, since it is smaller than the sum of its proper divisors (39933896).

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

27722560 is a wasteful number, since it uses less digits than its factorization.

27722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 27722560 is about 5265.2217427189. The cubic root of 27722560 is about 302.6526242997.

It can be divided in two parts, 27722 and 560, that added together give a palindrome (28282).

The spelling of 27722560 in words is "twenty-seven million, seven hundred twenty-two thousand, five hundred sixty".