27825140 has 36 divisors (see below), whose sum is σ = 67975236. Its totient is φ = 9539712.

The previous prime is 27825131. The next prime is 27825157. The reversal of 27825140 is 4152872.

It can be written as a sum of positive squares in 2 ways, for example, as 20448484 + 7376656 = 4522^2 + 2716^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13217 + ... + 15176.

It is an arithmetic number, because the mean of its divisors is an integer number (1888201).

Almost surely, 2^27825140 is an apocalyptic number.

27825140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27825140 is an abundant number, since it is smaller than the sum of its proper divisors (40150096).

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

27825140 is a wasteful number, since it uses less digits than its factorization.

27825140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28416 (or 28407 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 27825140 is about 5274.9540282357. The cubic root of 27825140 is about 303.0254601428.

The spelling of 27825140 in words is "twenty-seven million, eight hundred twenty-five thousand, one hundred forty".