27663680 has 112 divisors (see below), whose sum is σ = 74615040. Its totient is φ = 9676800.

The previous prime is 27663661. The next prime is 27663689. The reversal of 27663680 is 8636672.

It is a super-2 number, since 2×27663680² = 1530558382284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27663689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101945 + ... + 102215.

Almost surely, 2^27663680 is an apocalyptic number.

27663680 is a gapful number since it is divisible by the number (20) 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 27663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37307520).

27663680 is an abundant number, since it is smaller than the sum of its proper divisors (46951360).

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

27663680 is a wasteful number, since it uses less digits than its factorization.

27663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 27663680 is about 5259.6273632264. The cubic root of 27663680 is about 302.4382042566.

It can be divided in two parts, 2766 and 3680, that added together give a palindrome (6446).

The spelling of 27663680 in words is "twenty-seven million, six hundred sixty-three thousand, six hundred eighty".