205950528 has 126 divisors (see below), whose sum is σ = 686792886. Its totient is φ = 58834944.

The previous prime is 205950509. The next prime is 205950553. The reversal of 205950528 is 825059502.

It can be written as a sum of positive squares in only one way, i.e., 163021824 + 42928704 = 12768^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205950492 and 205950501.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24576 + ... + 31872.

Almost surely, 2^205950528 is an apocalyptic number.

205950528 is a gapful number since it is divisible by the number (28) 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 205950528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343396443).

205950528 is an abundant number, since it is smaller than the sum of its proper divisors (480842358).

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

205950528 is a wasteful number, since it uses less digits than its factorization.

205950528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329 (or 7309 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 205950528 is about 14350.9765521375. The cubic root of 205950528 is about 590.5467764717.

The spelling of 205950528 in words is "two hundred five million, nine hundred fifty thousand, five hundred twenty-eight".