27085420 has 96 divisors (see below), whose sum is σ = 64774080. Its totient is φ = 9461760.

The previous prime is 27085411. The next prime is 27085423. The reversal of 27085420 is 2458072.

It is not an unprimeable number, because it can be changed into a prime (27085423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404227 + ... + 404293.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 2^27085420 is an apocalyptic number.

27085420 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 27085420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387040).

27085420 is an abundant number, since it is smaller than the sum of its proper divisors (37688660).

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

27085420 is a wasteful number, since it uses less digits than its factorization.

27085420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 27085420 is about 5204.3654752525. The cubic root of 27085420 is about 300.3160373215.

It can be divided in two parts, 2708 and 5420, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 27085420 in words is "twenty-seven million, eighty-five thousand, four hundred twenty".