27705216 has 128 divisors (see below), whose sum is σ = 91848960. Its totient is φ = 7188480.

The previous prime is 27705203. The next prime is 27705229. The reversal of 27705216 is 61250772.

It is an interprime number because it is at equal distance from previous prime (27705203) and next prime (27705229).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 29100 + ... + 30036.

It is an arithmetic number, because the mean of its divisors is an integer number (717570).

Almost surely, 2^27705216 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 27705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45924480).

27705216 is an abundant number, since it is smaller than the sum of its proper divisors (64143744).

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

27705216 is a wasteful number, since it uses less digits than its factorization.

27705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 27705216 is about 5263.5744508841. The cubic root of 27705216 is about 302.5894951830.

Adding to 27705216 its reverse (61250772), we get a palindrome (88955988).

The spelling of 27705216 in words is "twenty-seven million, seven hundred five thousand, two hundred sixteen".