27006980 has 192 divisors, whose sum is σ = 81285120. Its totient is φ = 7257600.

The previous prime is 27006979. The next prime is 27006997. The reversal of 27006980 is 8960072.

27006980 = T₉₀ + T₉₁ + ... + T₅₄₅.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380345 + ... + 380415.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^27006980 is an apocalyptic number.

27006980 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 27006980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

27006980 is an abundant number, since it is smaller than the sum of its proper divisors (54278140).

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

27006980 is a wasteful number, since it uses less digits than its factorization.

27006980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 27006980 is about 5196.8240301169. The cubic root of 27006980 is about 300.0258496244.

The spelling of 27006980 in words is "twenty-seven million, six thousand, nine hundred eighty".