56818080 has 288 divisors, whose sum is σ = 225021888. Its totient is φ = 12902400.

The previous prime is 56818061. The next prime is 56818123. The reversal of 56818080 is 8081865.

56818080 is a `hidden beast` number, since 568 + 18 + 0 + 80 = 666.

56818080 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 269175 + ... + 269385.

It is an arithmetic number, because the mean of its divisors is an integer number (781326).

Almost surely, 2^56818080 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 56818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112510944).

56818080 is an abundant number, since it is smaller than the sum of its proper divisors (168203808).

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

56818080 is a wasteful number, since it uses less digits than its factorization.

56818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 56818080 is about 7537.7768605869. The cubic root of 56818080 is about 384.4402502751.

The spelling of 56818080 in words is "fifty-six million, eight hundred eighteen thousand, eighty".