56106000 has 160 divisors (see below), whose sum is σ = 201177600. Its totient is φ = 14947200.

The previous prime is 56105977. The next prime is 56106007. The reversal of 56106000 is 60165.

56106000 is a `hidden beast` number, since 5 + 61 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56106007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53481 + ... + 54519.

It is an arithmetic number, because the mean of its divisors is an integer number (1257360).

Almost surely, 2^56106000 is an apocalyptic number.

56106000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100588800).

56106000 is an abundant number, since it is smaller than the sum of its proper divisors (145071600).

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

56106000 is a wasteful number, since it uses less digits than its factorization.

56106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56106000 is about 7490.3938481231. The cubic root of 56106000 is about 382.8274781034.

Adding to 56106000 its reverse (60165), we get a palindrome (56166165).

The spelling of 56106000 in words is "fifty-six million, one hundred six thousand".