27761316 has 96 divisors (see below), whose sum is σ = 74393088. Its totient is φ = 7983360.

The previous prime is 27761297. The next prime is 27761317. The reversal of 27761316 is 61316772.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (27761317) 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 31 ways as a sum of consecutive naturals, for example, 380256 + ... + 380328.

It is an arithmetic number, because the mean of its divisors is an integer number (774928).

Almost surely, 2^27761316 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 27761316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37196544).

27761316 is an abundant number, since it is smaller than the sum of its proper divisors (46631772).

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

27761316 is a wasteful number, since it uses less digits than its factorization.

27761316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 27761316 is about 5268.9008341399. The cubic root of 27761316 is about 302.7935942459.

The spelling of 27761316 in words is "twenty-seven million, seven hundred sixty-one thousand, three hundred sixteen".