27813660 has 96 divisors (see below), whose sum is σ = 90961920. Its totient is φ = 6217728.

The previous prime is 27813641. The next prime is 27813671. The reversal of 27813660 is 6631872.

It is a congruent number.

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, 19036 + ... + 20444.

It is an arithmetic number, because the mean of its divisors is an integer number (947520).

Almost surely, 2^27813660 is an apocalyptic number.

27813660 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 27813660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45480960).

27813660 is an abundant number, since it is smaller than the sum of its proper divisors (63148260).

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

27813660 is a wasteful number, since it uses less digits than its factorization.

27813660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 27813660 is about 5273.8657548330. The cubic root of 27813660 is about 302.9837806783.

It can be divided in two parts, 2781 and 3660, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 27813660 in words is "twenty-seven million, eight hundred thirteen thousand, six hundred sixty".