205928160 has 48 divisors (see below), whose sum is σ = 648675216. Its totient is φ = 54914048.

The previous prime is 205928153. The next prime is 205928167. The reversal of 205928160 is 61829502.

205928160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205928153) and next prime (205928167).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205928167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214029 + ... + 214988.

It is an arithmetic number, because the mean of its divisors is an integer number (13514067).

Almost surely, 2^205928160 is an apocalyptic number.

205928160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205928160 is an abundant number, since it is smaller than the sum of its proper divisors (442747056).

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

205928160 is a wasteful number, since it uses less digits than its factorization.

205928160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429035 (or 429027 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 205928160 is about 14350.1972111884. The cubic root of 205928160 is about 590.5253962100.

The spelling of 205928160 in words is "two hundred five million, nine hundred twenty-eight thousand, one hundred sixty".