27002016 has 144 divisors (see below), whose sum is σ = 82260360. Its totient is φ = 8386560.

The previous prime is 27001991. The next prime is 27002033. The reversal of 27002016 is 61020072.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19184400 + 7817616 = 4380^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 27002016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442626 + ... + 442686.

Almost surely, 2^27002016 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 27002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41130180).

27002016 is an abundant number, since it is smaller than the sum of its proper divisors (55258344).

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

27002016 is a wasteful number, since it uses less digits than its factorization.

27002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 27002016 is about 5196.3464087761. The cubic root of 27002016 is about 300.0074664808.

Adding to 27002016 its reverse (61020072), we get a palindrome (88022088).

The spelling of 27002016 in words is "twenty-seven million, two thousand, sixteen".