56065000 has 40 divisors (see below), whose sum is σ = 131372010. Its totient is φ = 22424000.

The previous prime is 56064989. The next prime is 56065001. The reversal of 56065000 is 56065.

It can be written as a sum of positive squares in 5 ways, for example, as 1865956 + 54199044 = 1366^2 + 7362^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (56065001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 607 + ... + 10606.

Almost surely, 2^56065000 is an apocalyptic number.

56065000 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 56065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65686005).

56065000 is an abundant number, since it is smaller than the sum of its proper divisors (75307010).

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

56065000 is a wasteful number, since it uses less digits than its factorization.

56065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11239 (or 11220 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 56065000 is about 7487.6565092157. The cubic root of 56065000 is about 382.7342037568.

56065000 divided by its reverse (56065) gives a cube (1000 = 10³).

The spelling of 56065000 in words is "fifty-six million, sixty-five thousand".