27961008 has 160 divisors (see below), whose sum is σ = 83804160. Its totient is φ = 7983360.

The previous prime is 27960991. The next prime is 27961009. The reversal of 27961008 is 80016972.

It is a self number, because there is not a number n which added to its sum of digits gives 27961008.

It is not an unprimeable number, because it can be changed into a prime (27961009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650235 + ... + 650277.

It is an arithmetic number, because the mean of its divisors is an integer number (523776).

Almost surely, 2^27961008 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 27961008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41902080).

27961008 is an abundant number, since it is smaller than the sum of its proper divisors (55843152).

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

27961008 is a wasteful number, since it uses less digits than its factorization.

27961008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 27961008 is about 5287.8169408556. The cubic root of 27961008 is about 303.5178761386.

The spelling of 27961008 in words is "twenty-seven million, nine hundred sixty-one thousand, eight".