27006030 has 96 divisors (see below), whose sum is σ = 78343200. Its totient is φ = 6414336.

The previous prime is 27006019. The next prime is 27006073. The reversal of 27006030 is 3060072.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 27005994 and 27006012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28606 + ... + 29534.

It is an arithmetic number, because the mean of its divisors is an integer number (816075).

Almost surely, 2^27006030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27006030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

27006030 is an abundant number, since it is smaller than the sum of its proper divisors (51337170).

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

27006030 is a wasteful number, since it uses less digits than its factorization.

27006030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 27006030 is about 5196.7326273342. The cubic root of 27006030 is about 300.0223316709.

The spelling of 27006030 in words is "twenty-seven million, six thousand, thirty".