27792666 has 64 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 8290800.

The previous prime is 27792659. The next prime is 27792673. The reversal of 27792666 is 66629772.

It is an interprime number because it is at equal distance from previous prime (27792659) and next prime (27792673).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41845 + ... + 42503.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 2^27792666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27792666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

27792666 is an abundant number, since it is smaller than the sum of its proper divisors (40636134).

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

27792666 is a wasteful number, since it uses less digits than its factorization.

27792666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 27792666 is about 5271.8749985181. The cubic root of 27792666 is about 302.9075298652.

It can be divided in two parts, 2779 and 2666, that added together give a palindrome (5445).

The spelling of 27792666 in words is "twenty-seven million, seven hundred ninety-two thousand, six hundred sixty-six".