27665664 has 144 divisors (see below), whose sum is σ = 84474432. Its totient is φ = 7962624.

The previous prime is 27665597. The next prime is 27665683. The reversal of 27665664 is 46656672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169647 + ... + 169809.

It is an arithmetic number, because the mean of its divisors is an integer number (586628).

Almost surely, 2^27665664 is an apocalyptic number.

27665664 is a gapful number since it is divisible by the number (24) 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 27665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42237216).

27665664 is an abundant number, since it is smaller than the sum of its proper divisors (56808768).

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

27665664 is a wasteful number, since it uses less digits than its factorization.

27665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 27665664 is about 5259.8159663623. The cubic root of 27665664 is about 302.4454342305.

The spelling of 27665664 in words is "twenty-seven million, six hundred sixty-five thousand, six hundred sixty-four".