56350160 has 40 divisors (see below), whose sum is σ = 132822600. Its totient is φ = 22228992.

The previous prime is 56350141. The next prime is 56350163. The reversal of 56350160 is 6105365.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 55413136 = 968^2 + 7444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56350163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1016 + ... + 10664.

It is an arithmetic number, because the mean of its divisors is an integer number (3320565).

Almost surely, 2^56350160 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 56350160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66411300).

56350160 is an abundant number, since it is smaller than the sum of its proper divisors (76472440).

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

56350160 is a wasteful number, since it uses less digits than its factorization.

56350160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 56350160 is about 7506.6743635248. The cubic root of 56350160 is about 383.3819992824.

The spelling of 56350160 in words is "fifty-six million, three hundred fifty thousand, one hundred sixty".