205946320 has 80 divisors (see below), whose sum is σ = 507824640. Its totient is φ = 77455872.

The previous prime is 205946311. The next prime is 205946327. The reversal of 205946320 is 23649502.

205946320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205946327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238209 + ... + 239071.

It is an arithmetic number, because the mean of its divisors is an integer number (6347808).

Almost surely, 2^205946320 is an apocalyptic number.

205946320 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 205946320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253912320).

205946320 is an abundant number, since it is smaller than the sum of its proper divisors (301878320).

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

205946320 is a wasteful number, since it uses less digits than its factorization.

205946320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 205946320 is about 14350.8299411567. The cubic root of 205946320 is about 590.5427544090.

The spelling of 205946320 in words is "two hundred five million, nine hundred forty-six thousand, three hundred twenty".