27568640 has 120 divisors (see below), whose sum is σ = 73471860. Its totient is φ = 9912320.

The previous prime is 27568637. The next prime is 27568643. The reversal of 27568640 is 4686572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27568637) and next prime (27568643).

It can be written as a sum of positive squares in 2 ways, for example, as 26050816 + 1517824 = 5104^2 + 1232^2 .

It is a super-2 number, since 2×27568640² = 1520059822899200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27568594 and 27568603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27568643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309716 + ... + 309804.

Almost surely, 2^27568640 is an apocalyptic number.

27568640 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 27568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36735930).

27568640 is an abundant number, since it is smaller than the sum of its proper divisors (45903220).

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

27568640 is an equidigital number, since it uses as much as digits as its factorization.

27568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 27568640 is about 5250.5847293421. The cubic root of 27568640 is about 302.0914595145.

The spelling of 27568640 in words is "twenty-seven million, five hundred sixty-eight thousand, six hundred forty".