27205840 has 20 divisors (see below), whose sum is σ = 63253764. Its totient is φ = 10882304.

The previous prime is 27205811. The next prime is 27205847. The reversal of 27205840 is 4850272.

It can be written as a sum of positive squares in 2 ways, for example, as 15178816 + 12027024 = 3896^2 + 3468^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 27205799 and 27205808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27205847) 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 3 ways as a sum of consecutive naturals, for example, 169957 + ... + 170116.

Almost surely, 2^27205840 is an apocalyptic number.

27205840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27205840 is an abundant number, since it is smaller than the sum of its proper divisors (36047924).

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

27205840 is a wasteful number, since it uses less digits than its factorization.

27205840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340086 (or 340080 counting only the distinct ones).

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

The square root of 27205840 is about 5215.9217785546. The cubic root of 27205840 is about 300.7604411724.

The spelling of 27205840 in words is "twenty-seven million, two hundred five thousand, eight hundred forty".