27125064 has 128 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 8312832.

The previous prime is 27125057. The next prime is 27125069. The reversal of 27125064 is 46052172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27125069) 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, 304732 + ... + 304820.

It is an arithmetic number, because the mean of its divisors is an integer number (637875).

Almost surely, 2^27125064 is an apocalyptic number.

27125064 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 27125064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

27125064 is an abundant number, since it is smaller than the sum of its proper divisors (54522936).

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

27125064 is a wasteful number, since it uses less digits than its factorization.

27125064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 27125064 is about 5208.1728081929. The cubic root of 27125064 is about 300.4624866539.

It can be divided in two parts, 2712 and 5064, that added together give a 5-th power (7776 = 6⁵).

The spelling of 27125064 in words is "twenty-seven million, one hundred twenty-five thousand, sixty-four".