27945008 has 80 divisors (see below), whose sum is σ = 70620480. Its totient is φ = 10395648.

The previous prime is 27945007. The next prime is 27945011. The reversal of 27945008 is 80054972.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27945007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24188 + ... + 25316.

It is an arithmetic number, because the mean of its divisors is an integer number (882756).

Almost surely, 2^27945008 is an apocalyptic number.

27945008 is a gapful number since it is divisible by the number (28) 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 27945008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35310240).

27945008 is an abundant number, since it is smaller than the sum of its proper divisors (42675472).

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

27945008 is a wasteful number, since it uses less digits than its factorization.

27945008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 27945008 is about 5286.3038126842. The cubic root of 27945008 is about 303.4599715427.

The spelling of 27945008 in words is "twenty-seven million, nine hundred forty-five thousand, eight".