27522820 has 48 divisors (see below), whose sum is σ = 63948528. Its totient is φ = 9884160.

The previous prime is 27522809. The next prime is 27522821. The reversal of 27522820 is 2822572.

It can be written as a sum of positive squares in 8 ways, for example, as 2304 + 27520516 = 48^2 + 5246^2 .

It is not an unprimeable number, because it can be changed into a prime (27522821) 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, 8190 + ... + 11050.

It is an arithmetic number, because the mean of its divisors is an integer number (1332261).

Almost surely, 2^27522820 is an apocalyptic number.

27522820 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 27522820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31974264).

27522820 is an abundant number, since it is smaller than the sum of its proper divisors (36425708).

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

27522820 is a wasteful number, since it uses less digits than its factorization.

27522820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 27522820 is about 5246.2195912867. The cubic root of 27522820 is about 301.9240046783.

The spelling of 27522820 in words is "twenty-seven million, five hundred twenty-two thousand, eight hundred twenty".