27825564 has 48 divisors (see below), whose sum is σ = 70616448. Its totient is φ = 8476608.

The previous prime is 27825563. The next prime is 27825571. The reversal of 27825564 is 46552872.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (134400) is a multiple of the sum of its prime divisors (1792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27825563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15859 + ... + 17525.

It is an arithmetic number, because the mean of its divisors is an integer number (1471176).

Almost surely, 2^27825564 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 27825564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35308224).

27825564 is an abundant number, since it is smaller than the sum of its proper divisors (42790884).

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

27825564 is a wasteful number, since it uses less digits than its factorization.

27825564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1792 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 27825564 is about 5274.9942180063. The cubic root of 27825564 is about 303.0269993042.

The spelling of 27825564 in words is "twenty-seven million, eight hundred twenty-five thousand, five hundred sixty-four".