56601120 has 96 divisors (see below), whose sum is σ = 183169728. Its totient is φ = 14681088.

The previous prime is 56601089. The next prime is 56601121. The reversal of 56601120 is 2110665.

It is a happy number.

56601120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56601121) 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 15 ways as a sum of consecutive naturals, for example, 16167 + ... + 19353.

It is an arithmetic number, because the mean of its divisors is an integer number (1908018).

Almost surely, 2^56601120 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 56601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91584864).

56601120 is an abundant number, since it is smaller than the sum of its proper divisors (126568608).

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

56601120 is a wasteful number, since it uses less digits than its factorization.

56601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3234 counting only the distinct ones).

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

The square root of 56601120 is about 7523.3715846022. The cubic root of 56601120 is about 383.9502973865.

Adding to 56601120 its reverse (2110665), we get a palindrome (58711785).

The spelling of 56601120 in words is "fifty-six million, six hundred one thousand, one hundred twenty".