27806616 has 48 divisors (see below), whose sum is σ = 75886200. Its totient is φ = 9197952.

The previous prime is 27806599. The next prime is 27806617. The reversal of 27806616 is 61660872.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27806617) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8455 + ... + 11273.

Almost surely, 2^27806616 is an apocalyptic number.

27806616 is the 2819-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27806616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37943100).

27806616 is an abundant number, since it is smaller than the sum of its proper divisors (48079584).

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

27806616 is a wasteful number, since it uses less digits than its factorization.

27806616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 27806616 is about 5273.1978912231. The cubic root of 27806616 is about 302.9582009458.

The spelling of 27806616 in words is "twenty-seven million, eight hundred six thousand, six hundred sixteen".