27114660 has 72 divisors (see below), whose sum is σ = 87095736. Its totient is φ = 6804480.

The previous prime is 27114613. The next prime is 27114671. The reversal of 27114660 is 6641172.

It can be written as a sum of positive squares in 4 ways, for example, as 14197824 + 12916836 = 3768^2 + 3594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371 + ... + 7490.

It is an arithmetic number, because the mean of its divisors is an integer number (1209663).

Almost surely, 2^27114660 is an apocalyptic number.

27114660 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 27114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43547868).

27114660 is an abundant number, since it is smaller than the sum of its proper divisors (59981076).

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

27114660 is a wasteful number, since it uses less digits than its factorization.

27114660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27114660 is about 5207.1738976147. The cubic root of 27114660 is about 300.4240669416.

The spelling of 27114660 in words is "twenty-seven million, one hundred fourteen thousand, six hundred sixty".