205890720 has 192 divisors, whose sum is σ = 767128320. Its totient is φ = 45416448.

The previous prime is 205890709. The next prime is 205890761. The reversal of 205890720 is 27098502.

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, 96384 + ... + 98496.

It is an arithmetic number, because the mean of its divisors is an integer number (3995460).

Almost surely, 2^205890720 is an apocalyptic number.

205890720 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 205890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383564160).

205890720 is an abundant number, since it is smaller than the sum of its proper divisors (561237600).

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

205890720 is a wasteful number, since it uses less digits than its factorization.

205890720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 205890720 is about 14348.8926402005. The cubic root of 205890720 is about 590.4896060411.

The spelling of 205890720 in words is "two hundred five million, eight hundred ninety thousand, seven hundred twenty".