56205000 has 120 divisors (see below), whose sum is σ = 190368750. Its totient is φ = 14976000.

The previous prime is 56204969. The next prime is 56205041. The reversal of 56205000 is 50265.

It can be written as a sum of positive squares in 5 ways, for example, as 224676 + 55980324 = 474^2 + 7482^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44376 + ... + 45624.

Almost surely, 2^56205000 is an apocalyptic number.

56205000 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 56205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95184375).

56205000 is an abundant number, since it is smaller than the sum of its proper divisors (134163750).

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

56205000 is a wasteful number, since it uses less digits than its factorization.

56205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 56205000 is about 7496.9993997599. Note that the first 3 decimals coincide. The cubic root of 56205000 is about 383.0525143471.

Adding to 56205000 its reverse (50265), we get a palindrome (56255265).

The spelling of 56205000 in words is "fifty-six million, two hundred five thousand".