27056064 has 112 divisors (see below), whose sum is σ = 83978496. Its totient is φ = 7526400.

The previous prime is 27056059. The next prime is 27056069. The reversal of 27056064 is 46065072.

It is an interprime number because it is at equal distance from previous prime (27056059) and next prime (27056069).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27056069) 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 15 ways as a sum of consecutive naturals, for example, 54859 + ... + 55349.

It is an arithmetic number, because the mean of its divisors is an integer number (749808).

Almost surely, 2^27056064 is an apocalyptic number.

27056064 is a gapful number since it is divisible by the number (24) 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 27056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41989248).

27056064 is an abundant number, since it is smaller than the sum of its proper divisors (56922432).

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

27056064 is a wasteful number, since it uses less digits than its factorization.

27056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 27056064 is about 5201.5443860454. The cubic root of 27056064 is about 300.2075008893.

The spelling of 27056064 in words is "twenty-seven million, fifty-six thousand, sixty-four".