27538640 has 40 divisors (see below), whose sum is σ = 67797000. Its totient is φ = 10366976.

The previous prime is 27538639. The next prime is 27538649. The reversal of 27538640 is 4683572.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 24049216 = 1868^2 + 4904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 27538640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27538649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8765 + ... + 11484.

It is an arithmetic number, because the mean of its divisors is an integer number (1694925).

Almost surely, 2^27538640 is an apocalyptic number.

27538640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27538640 is an abundant number, since it is smaller than the sum of its proper divisors (40258360).

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

27538640 is a wasteful number, since it uses less digits than its factorization.

27538640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20279 (or 20273 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 27538640 is about 5247.7271270522. The cubic root of 27538640 is about 301.9818418099.

The spelling of 27538640 in words is "twenty-seven million, five hundred thirty-eight thousand, six hundred forty".