27630080 has 80 divisors (see below), whose sum is σ = 68058144. Its totient is φ = 10752000.

The previous prime is 27630079. The next prime is 27630089. The reversal of 27630080 is 8003672.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (27630089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109955 + ... + 110205.

Almost surely, 2^27630080 is an apocalyptic number.

27630080 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 27630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34029072).

27630080 is an abundant number, since it is smaller than the sum of its proper divisors (40428064).

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

27630080 is an equidigital number, since it uses as much as digits as its factorization.

27630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 27630080 is about 5256.4322501103. The cubic root of 27630080 is about 302.3157086157.

The spelling of 27630080 in words is "twenty-seven million, six hundred thirty thousand, eighty".