205951340 has 48 divisors (see below), whose sum is σ = 499867200. Its totient is φ = 69814272.

The previous prime is 205951337. The next prime is 205951349. The reversal of 205951340 is 43159502.

It is not an unprimeable number, because it can be changed into a prime (205951349) 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, 4196 + ... + 20724.

It is an arithmetic number, because the mean of its divisors is an integer number (10413900).

Almost surely, 2^205951340 is an apocalyptic number.

205951340 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 205951340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249933600).

205951340 is an abundant number, since it is smaller than the sum of its proper divisors (293915860).

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

205951340 is a wasteful number, since it uses less digits than its factorization.

205951340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16634 (or 16632 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 205951340 is about 14351.0048428673. The cubic root of 205951340 is about 590.5475525858.

The spelling of 205951340 in words is "two hundred five million, nine hundred fifty-one thousand, three hundred forty".