56006160 has 320 divisors, whose sum is σ = 219843072. Its totient is φ = 11501568.

The previous prime is 56006141. The next prime is 56006183. The reversal of 56006160 is 6160065.

56006160 = T₁₃₇ + T₁₃₈ + ... + T₆₉₆.

It is a Harshad number since it is a multiple of its sum of digits (24).

56006160 is a modest number, since divided by 6160 gives 5600 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 56006160.

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, 1056694 + ... + 1056746.

Almost surely, 2^56006160 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 56006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109921536).

56006160 is an abundant number, since it is smaller than the sum of its proper divisors (163836912).

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

56006160 is a wasteful number, since it uses less digits than its factorization.

56006160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56006160 is about 7483.7263445425. The cubic root of 56006160 is about 382.6002642022.

The spelling of 56006160 in words is "fifty-six million, six thousand, one hundred sixty".