27105920 has 64 divisors (see below), whose sum is σ = 66444840. Its totient is φ = 10567680.

The previous prime is 27105919. The next prime is 27105943. The reversal of 27105920 is 2950172.

It can be written as a sum of positive squares in 4 ways, for example, as 22052416 + 5053504 = 4696^2 + 2248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 27105920.

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 7 ways as a sum of consecutive naturals, for example, 25724 + ... + 26756.

Almost surely, 2^27105920 is an apocalyptic number.

27105920 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 27105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33222420).

27105920 is an abundant number, since it is smaller than the sum of its proper divisors (39338920).

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

27105920 is a wasteful number, since it uses less digits than its factorization.

27105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 27105920 is about 5206.3346031541. The cubic root of 27105920 is about 300.3917844235.

The spelling of 27105920 in words is "twenty-seven million, one hundred five thousand, nine hundred twenty".