27060480 has 252 divisors, whose sum is σ = 100534140. Its totient is φ = 6967296.

The previous prime is 27060437. The next prime is 27060491. The reversal of 27060480 is 8406072.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 15116544 = 3456^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933106 + ... + 933134.

It is an arithmetic number, because the mean of its divisors is an integer number (398945).

Almost surely, 2^27060480 is an apocalyptic number.

27060480 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 27060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50267070).

27060480 is an abundant number, since it is smaller than the sum of its proper divisors (73473660).

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

27060480 is an frugal number, since it uses more digits than its factorization.

27060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 27060480 is about 5201.9688580383. The cubic root of 27060480 is about 300.2238329545.

The spelling of 27060480 in words is "twenty-seven million, sixty thousand, four hundred eighty".