27605640 has 32 divisors (see below), whose sum is σ = 82817280. Its totient is φ = 7361472.

The previous prime is 27605621. The next prime is 27605647. The reversal of 27605640 is 4650672.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27605598 and 27605607.

It is not an unprimeable number, because it can be changed into a prime (27605647) 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 7 ways as a sum of consecutive naturals, for example, 114904 + ... + 115143.

It is an arithmetic number, because the mean of its divisors is an integer number (2588040).

Almost surely, 2^27605640 is an apocalyptic number.

27605640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27605640 is an abundant number, since it is smaller than the sum of its proper divisors (55211640).

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

27605640 is a wasteful number, since it uses less digits than its factorization.

27605640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230061 (or 230057 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 27605640 is about 5254.1069650322. The cubic root of 27605640 is about 302.2265452172.

The spelling of 27605640 in words is "twenty-seven million, six hundred five thousand, six hundred forty".