27636640 has 48 divisors (see below), whose sum is σ = 68735520. Its totient is φ = 10471680.

The previous prime is 27636619. The next prime is 27636643. The reversal of 27636640 is 4663672.

It is a junction number, because it is equal to n+sod(n) for n = 27636596 and 27636605.

It is not an unprimeable number, because it can be changed into a prime (27636643) 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, 1506 + ... + 7585.

It is an arithmetic number, because the mean of its divisors is an integer number (1431990).

Almost surely, 2^27636640 is an apocalyptic number.

27636640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27636640 is an abundant number, since it is smaller than the sum of its proper divisors (41098880).

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

27636640 is a wasteful number, since it uses less digits than its factorization.

27636640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 27636640 is about 5257.0562104661. The cubic root of 27636640 is about 302.3396322299.

The spelling of 27636640 in words is "twenty-seven million, six hundred thirty-six thousand, six hundred forty".