27060864 has 64 divisors (see below), whose sum is σ = 75684000. Its totient is φ = 8543232.

The previous prime is 27060863. The next prime is 27060871. The reversal of 27060864 is 46806072.

27060864 = 1730² + 1731² + ... + 1738².

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

It is not an unprimeable number, because it can be changed into a prime (27060863) by changing a digit.

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, 5442 + ... + 9150.

Almost surely, 2^27060864 is an apocalyptic number.

27060864 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 27060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37842000).

27060864 is an abundant number, since it is smaller than the sum of its proper divisors (48623136).

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

27060864 is a wasteful number, since it uses less digits than its factorization.

27060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 27060864 is about 5202.0057670095. The cubic root of 27060864 is about 300.2252530501.

The spelling of 27060864 in words is "twenty-seven million, sixty thousand, eight hundred sixty-four".