56120160 has 96 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 14611968.

The previous prime is 56120159. The next prime is 56120171. The reversal of 56120160 is 6102165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19281 + ... + 21999.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 2^56120160 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 56120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

56120160 is an abundant number, since it is smaller than the sum of its proper divisors (124836000).

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

56120160 is a wasteful number, since it uses less digits than its factorization.

56120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 56120160 is about 7491.3389991376. The cubic root of 56120160 is about 382.8596813206.

It can be divided in two parts, 56120 and 160, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 56120160 in words is "fifty-six million, one hundred twenty thousand, one hundred sixty".