205890944 has 96 divisors (see below), whose sum is σ = 505469160. Its totient is φ = 83005440.

The previous prime is 205890941. The next prime is 205890947. The reversal of 205890944 is 449098502.

It is an interprime number because it is at equal distance from previous prime (205890941) and next prime (205890947).

It is a super-2 number, since 2×205890944² = 84782161642422272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205890941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105659 + ... + 107589.

Almost surely, 2^205890944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252734580).

205890944 is an abundant number, since it is smaller than the sum of its proper divisors (299578216).

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

205890944 is a wasteful number, since it uses less digits than its factorization.

205890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 205890944 is about 14348.9004456788. The cubic root of 205890944 is about 590.4898201832.

The spelling of 205890944 in words is "two hundred five million, eight hundred ninety thousand, nine hundred forty-four".