27500968 has 64 divisors (see below), whose sum is σ = 61585920. Its totient is φ = 11366400.

The previous prime is 27500947. The next prime is 27500989. The reversal of 27500968 is 86900572.

It is an interprime number because it is at equal distance from previous prime (27500947) and next prime (27500989).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46080 + ... + 46672.

It is an arithmetic number, because the mean of its divisors is an integer number (962280).

Almost surely, 2^27500968 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 27500968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30792960).

27500968 is an abundant number, since it is smaller than the sum of its proper divisors (34084952).

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

27500968 is a wasteful number, since it uses less digits than its factorization.

27500968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 27500968 is about 5244.1365352172. The cubic root of 27500968 is about 301.8440783940.

The spelling of 27500968 in words is "twenty-seven million, five hundred thousand, nine hundred sixty-eight".