205766130 has 64 divisors (see below), whose sum is σ = 529296768. Its totient is φ = 51010560.

The previous prime is 205766083. The next prime is 205766149. The reversal of 205766130 is 31667502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39900 + ... + 44760.

It is an arithmetic number, because the mean of its divisors is an integer number (8270262).

Almost surely, 2^205766130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205766130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264648384).

205766130 is an abundant number, since it is smaller than the sum of its proper divisors (323530638).

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

205766130 is a wasteful number, since it uses less digits than its factorization.

205766130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 205766130 is about 14344.5505332164. The cubic root of 205766130 is about 590.3704749724.

The spelling of 205766130 in words is "two hundred five million, seven hundred sixty-six thousand, one hundred thirty".