56127064 has 128 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 20514816.

The previous prime is 56127041. The next prime is 56127067. The reversal of 56127064 is 46072165.

It is a happy number.

56127064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56127067) 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, 524499 + ... + 524605.

It is an arithmetic number, because the mean of its divisors is an integer number (1093500).

Almost surely, 2^56127064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56127064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984000).

56127064 is an abundant number, since it is smaller than the sum of its proper divisors (83840936).

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

56127064 is a wasteful number, since it uses less digits than its factorization.

56127064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 56127064 is about 7491.7997837636. The cubic root of 56127064 is about 382.8753806988.

The spelling of 56127064 in words is "fifty-six million, one hundred twenty-seven thousand, sixty-four".