27571968 has 72 divisors (see below), whose sum is σ = 81555600. Its totient is φ = 9188352.

The previous prime is 27571961. The next prime is 27571979. The reversal of 27571968 is 86917572.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27571961) 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, 4918 + ... + 8906.

Almost surely, 2^27571968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40777800).

27571968 is an abundant number, since it is smaller than the sum of its proper divisors (53983632).

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

27571968 is an equidigital number, since it uses as much as digits as its factorization.

27571968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014 (or 3994 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 27571968 is about 5250.9016368620. The cubic root of 27571968 is about 302.1036148708.

The spelling of 27571968 in words is "twenty-seven million, five hundred seventy-one thousand, nine hundred sixty-eight".