205957120 has 48 divisors (see below), whose sum is σ = 494200980. Its totient is φ = 82378752.

The previous prime is 205957109. The next prime is 205957121. The reversal of 205957120 is 21759502.

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 22733824 = 13536^2 + 4768^2 .

It is not an unprimeable number, because it can be changed into a prime (205957121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184 + ... + 20296.

Almost surely, 2^205957120 is an apocalyptic number.

205957120 is a gapful number since it is divisible by the number (20) 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 205957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247100490).

205957120 is an abundant number, since it is smaller than the sum of its proper divisors (288243860).

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

205957120 is an equidigital number, since it uses as much as digits as its factorization.

205957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20140 (or 20120 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 205957120 is about 14351.2062210812. The cubic root of 205957120 is about 590.5530770832.

The spelling of 205957120 in words is "two hundred five million, nine hundred fifty-seven thousand, one hundred twenty".