27825560 has 32 divisors (see below), whose sum is σ = 71552160. Its totient is φ = 9540096.

The previous prime is 27825547. The next prime is 27825563. The reversal of 27825560 is 6552872.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 27825560.

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 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, 49409 + ... + 49968.

It is an arithmetic number, because the mean of its divisors is an integer number (2236005).

Almost surely, 2^27825560 is an apocalyptic number.

27825560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27825560 is an abundant number, since it is smaller than the sum of its proper divisors (43726600).

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

27825560 is a wasteful number, since it uses less digits than its factorization.

27825560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99395 (or 99391 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 27825560 is about 5274.9938388590. The cubic root of 27825560 is about 303.0269847839.

The spelling of 27825560 in words is "twenty-seven million, eight hundred twenty-five thousand, five hundred sixty".