56673960 has 256 divisors, whose sum is σ = 211507200. Its totient is φ = 11860992.

The previous prime is 56673949. The next prime is 56673997. The reversal of 56673960 is 6937665.

56673960 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 845847 + ... + 845913.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^56673960 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 56673960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

56673960 is an abundant number, since it is smaller than the sum of its proper divisors (154833240).

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

56673960 is a wasteful number, since it uses less digits than its factorization.

56673960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 56673960 is about 7528.2109428469. The cubic root of 56673960 is about 384.1149287068.

The spelling of 56673960 in words is "fifty-six million, six hundred seventy-three thousand, nine hundred sixty".