27056900 has 54 divisors (see below), whose sum is σ = 63617022. Its totient is φ = 9984000.

The previous prime is 27056899. The next prime is 27056903. The reversal of 27056900 is 965072.

It can be written as a sum of positive squares in 9 ways, for example, as 7573504 + 19483396 = 2752^2 + 4414^2 .

It is a super-2 number, since 2×27056900² = 1464151675220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27056903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16100 + ... + 17700.

It is an arithmetic number, because the mean of its divisors is an integer number (1178093).

Almost surely, 2^27056900 is an apocalyptic number.

27056900 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 27056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31808511).

27056900 is an abundant number, since it is smaller than the sum of its proper divisors (36560122).

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

27056900 is a wasteful number, since it uses less digits than its factorization.

27056900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 27056900 is about 5201.6247461731. The cubic root of 27056900 is about 300.2105928750.

The spelling of 27056900 in words is "twenty-seven million, fifty-six thousand, nine hundred".