27561380 has 72 divisors (see below), whose sum is σ = 72752064. Its totient is φ = 8585280.

The previous prime is 27561379. The next prime is 27561407. The reversal of 27561380 is 8316572.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16127 + ... + 17753.

Almost surely, 2^27561380 is an apocalyptic number.

27561380 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 27561380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36376032).

27561380 is an abundant number, since it is smaller than the sum of its proper divisors (45190684).

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

27561380 is a wasteful number, since it uses less digits than its factorization.

27561380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 27561380 is about 5249.8933322497. The cubic root of 27561380 is about 302.0649393266.

The spelling of 27561380 in words is "twenty-seven million, five hundred sixty-one thousand, three hundred eighty".