56607120 has 160 divisors (see below), whose sum is σ = 198201600. Its totient is φ = 14846976.

The previous prime is 56607119. The next prime is 56607121. The reversal of 56607120 is 2170665.

56607120 is a `hidden beast` number, since 56 + 607 + 1 + 2 + 0 = 666.

56607120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56607119) and next prime (56607121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56607121) 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, 157501 + ... + 157859.

It is an arithmetic number, because the mean of its divisors is an integer number (1238760).

Almost surely, 2^56607120 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 56607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99100800).

56607120 is an abundant number, since it is smaller than the sum of its proper divisors (141594480).

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

56607120 is a wasteful number, since it uses less digits than its factorization.

56607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 56607120 is about 7523.7703314229. The cubic root of 56607120 is about 383.9638637870.

Adding to 56607120 its reverse (2170665), we get a palindrome (58777785).

The spelling of 56607120 in words is "fifty-six million, six hundred seven thousand, one hundred twenty".