27945216 has 144 divisors (see below), whose sum is σ = 89281920. Its totient is φ = 8570880.

The previous prime is 27945193. The next prime is 27945217. The reversal of 27945216 is 61254972.

27945216 = 131² + 132² + ... + 441².

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 (36).

It is not an unprimeable number, because it can be changed into a prime (27945217) 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, 89701 + ... + 90011.

Almost surely, 2^27945216 is an apocalyptic number.

27945216 is a gapful number since it is divisible by the number (26) 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 27945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640960).

27945216 is an abundant number, since it is smaller than the sum of its proper divisors (61336704).

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

27945216 is a wasteful number, since it uses less digits than its factorization.

27945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 27945216 is about 5286.3234861291. The cubic root of 27945216 is about 303.4607244442.

The spelling of 27945216 in words is "twenty-seven million, nine hundred forty-five thousand, two hundred sixteen".