27621216 has 96 divisors (see below), whose sum is σ = 92090880. Its totient is φ = 7890048.

The previous prime is 27621211. The next prime is 27621221. The reversal of 27621216 is 61212672.

27621216 is a `hidden beast` number, since 27 + 621 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (27621211) and next prime (27621221).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×27621216³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 27621216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27621211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3765 + ... + 8331.

It is an arithmetic number, because the mean of its divisors is an integer number (959280).

Almost surely, 2^27621216 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 27621216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46045440).

27621216 is an abundant number, since it is smaller than the sum of its proper divisors (64469664).

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

27621216 is a wasteful number, since it uses less digits than its factorization.

27621216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4579 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 27621216 is about 5255.5890250285. The cubic root of 27621216 is about 302.2833765456.

Adding to 27621216 its reverse (61212672), we get a palindrome (88833888).

The spelling of 27621216 in words is "twenty-seven million, six hundred twenty-one thousand, two hundred sixteen".