205601004 has 120 divisors (see below), whose sum is σ = 618377760. Its totient is φ = 58351104.

The previous prime is 205601003. The next prime is 205601023. The reversal of 205601004 is 400106502.

It is a happy number.

205601004 is a `hidden beast` number, since 2 + 0 + 560 + 100 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (205601003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 609924 + ... + 610260.

It is an arithmetic number, because the mean of its divisors is an integer number (5153148).

Almost surely, 2^205601004 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 205601004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309188880).

205601004 is an abundant number, since it is smaller than the sum of its proper divisors (412776756).

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

205601004 is a wasteful number, since it uses less digits than its factorization.

205601004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205601004 is about 14338.7936731093. The cubic root of 205601004 is about 590.2125098692.

Adding to 205601004 its reverse (400106502), we get a palindrome (605707506).

The spelling of 205601004 in words is "two hundred five million, six hundred one thousand, four".