27656900 has 36 divisors (see below), whose sum is σ = 60368532. Its totient is φ = 10997760.

The previous prime is 27656891. The next prime is 27656903. The reversal of 27656900 is 965672.

It can be written as a sum of positive squares in 6 ways, for example, as 262144 + 27394756 = 512^2 + 5234^2 .

It is a super-2 number, since 2×27656900² = 1529808235220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27656903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18584 + ... + 20016.

Almost surely, 2^27656900 is an apocalyptic number.

27656900 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 27656900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30184266).

27656900 is an abundant number, since it is smaller than the sum of its proper divisors (32711632).

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

27656900 is a wasteful number, since it uses less digits than its factorization.

27656900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 27656900 is about 5258.9827913771. The cubic root of 27656900 is about 302.4134943774.

The spelling of 27656900 in words is "twenty-seven million, six hundred fifty-six thousand, nine hundred".