27656680 has 48 divisors (see below), whose sum is σ = 63782820. Its totient is φ = 10792704.

The previous prime is 27656677. The next prime is 27656693. The reversal of 27656680 is 8665672.

It can be written as a sum of positive squares in 2 ways, for example, as 22982436 + 4674244 = 4794^2 + 2162^2 .

It is a Smith number, since the sum of its digits (40) 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88204 + ... + 88516.

Almost surely, 2^27656680 is an apocalyptic number.

27656680 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 27656680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891410).

27656680 is an abundant number, since it is smaller than the sum of its proper divisors (36126140).

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

27656680 is a wasteful number, since it uses less digits than its factorization.

27656680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 27656680 is about 5258.9618747430. The cubic root of 27656680 is about 302.4126925143.

The spelling of 27656680 in words is "twenty-seven million, six hundred fifty-six thousand, six hundred eighty".