27116320 has 192 divisors, whose sum is σ = 83607552. Its totient is φ = 8064000.

The previous prime is 27116311. The next prime is 27116339. The reversal of 27116320 is 2361172.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 27116291 and 27116300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381885 + ... + 381955.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 2^27116320 is an apocalyptic number.

27116320 is a gapful number since it is divisible by the number (20) 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 27116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41803776).

27116320 is an abundant number, since it is smaller than the sum of its proper divisors (56491232).

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

27116320 is a wasteful number, since it uses less digits than its factorization.

27116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 27116320 is about 5207.3332906585. Note that the first 3 decimals coincide. The cubic root of 27116320 is about 300.4301976200.

Adding to 27116320 its reverse (2361172), we get a palindrome (29477492).

The spelling of 27116320 in words is "twenty-seven million, one hundred sixteen thousand, three hundred twenty".