205830720 has 168 divisors, whose sum is σ = 734470464. Its totient is φ = 54867456.

The previous prime is 205830697. The next prime is 205830739. The reversal of 205830720 is 27038502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76437 + ... + 79083.

It is an arithmetic number, because the mean of its divisors is an integer number (4371848).

Almost surely, 2^205830720 is an apocalyptic number.

205830720 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 205830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367235232).

205830720 is an abundant number, since it is smaller than the sum of its proper divisors (528639744).

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

205830720 is an equidigital number, since it uses as much as digits as its factorization.

205830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 205830720 is about 14346.8017341845. The cubic root of 205830720 is about 590.4322409520.

The spelling of 205830720 in words is "two hundred five million, eight hundred thirty thousand, seven hundred twenty".