27542016 has 120 divisors (see below), whose sum is σ = 81921840. Its totient is φ = 8902656.

The previous prime is 27541991. The next prime is 27542071. The reversal of 27542016 is 61024572.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198075 + ... + 198213.

It is an arithmetic number, because the mean of its divisors is an integer number (682682).

Almost surely, 2^27542016 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 27542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40960920).

27542016 is an abundant number, since it is smaller than the sum of its proper divisors (54379824).

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

27542016 is a wasteful number, since it uses less digits than its factorization.

27542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 27542016 is about 5248.0487802611. The cubic root of 27542016 is about 301.9941814296.

Adding to 27542016 its reverse (61024572), we get a palindrome (88566588).

The spelling of 27542016 in words is "twenty-seven million, five hundred forty-two thousand, sixteen".