56129164 has 48 divisors (see below), whose sum is σ = 123875136. Its totient is φ = 21657600.

The previous prime is 56129159. The next prime is 56129179. The reversal of 56129164 is 46192165.

56129164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 13044 + ... + 16804.

It is an arithmetic number, because the mean of its divisors is an integer number (2580732).

Almost surely, 2^56129164 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 56129164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61937568).

56129164 is an abundant number, since it is smaller than the sum of its proper divisors (67745972).

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

56129164 is a wasteful number, since it uses less digits than its factorization.

56129164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3824 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 56129164 is about 7491.9399356909. The cubic root of 56129164 is about 382.8801557468.

It can be divided in two parts, 56129 and 164, that multiplied together give a square (9205156 = 3034²).

The spelling of 56129164 in words is "fifty-six million, one hundred twenty-nine thousand, one hundred sixty-four".