27004968 has 128 divisors (see below), whose sum is σ = 80256000. Its totient is φ = 8398080.

The previous prime is 27004951. The next prime is 27004997. The reversal of 27004968 is 86940072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247698 + ... + 247806.

It is an arithmetic number, because the mean of its divisors is an integer number (627000).

Almost surely, 2^27004968 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 27004968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40128000).

27004968 is an abundant number, since it is smaller than the sum of its proper divisors (53251032).

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

27004968 is a wasteful number, since it uses less digits than its factorization.

27004968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27004968 is about 5196.6304467414. The cubic root of 27004968 is about 300.0183988716.

It can be divided in two parts, 27004 and 968, that added together give a palindrome (27972).

The spelling of 27004968 in words is "twenty-seven million, four thousand, nine hundred sixty-eight".