27655840 has 24 divisors (see below), whose sum is σ = 65337300. Its totient is φ = 11062272.

The previous prime is 27655829. The next prime is 27655841. The reversal of 27655840 is 4855672.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25684624 + 1971216 = 5068^2 + 1404^2 .

It is a super-3 number, since 3×27655840³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27655840.

It is not an unprimeable number, because it can be changed into a prime (27655841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86265 + ... + 86584.

Almost surely, 2^27655840 is an apocalyptic number.

27655840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27655840 is an abundant number, since it is smaller than the sum of its proper divisors (37681460).

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

27655840 is a wasteful number, since it uses less digits than its factorization.

27655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172864 (or 172856 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 27655840 is about 5258.8820104657. The cubic root of 27655840 is about 302.4096308160.

The spelling of 27655840 in words is "twenty-seven million, six hundred fifty-five thousand, eight hundred forty".