56436120 has 192 divisors, whose sum is σ = 204422400. Its totient is φ = 13409280.

The previous prime is 56436119. The next prime is 56436139. The reversal of 56436120 is 2163465.

56436120 is a `hidden beast` number, since 5 + 6 + 43 + 612 + 0 = 666.

56436120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 144886 + ... + 145274.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 2^56436120 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 56436120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102211200).

56436120 is an abundant number, since it is smaller than the sum of its proper divisors (147986280).

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

56436120 is a wasteful number, since it uses less digits than its factorization.

56436120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56436120 is about 7512.3977530480. The cubic root of 56436120 is about 383.5768450669.

Adding to 56436120 its reverse (2163465), we get a palindrome (58599585).

The spelling of 56436120 in words is "fifty-six million, four hundred thirty-six thousand, one hundred twenty".