205938840 has 64 divisors (see below), whose sum is σ = 626306400. Its totient is φ = 54162432.

The previous prime is 205938827. The next prime is 205938847. The reversal of 205938840 is 48839502.

It is a happy number.

It is a hoax number, since the sum of its digits (39) 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 (205938847) 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, 2995 + ... + 20514.

Almost surely, 2^205938840 is an apocalyptic number.

205938840 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 205938840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313153200).

205938840 is an abundant number, since it is smaller than the sum of its proper divisors (420367560).

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

205938840 is a wasteful number, since it uses less digits than its factorization.

205938840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23596 (or 23592 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 205938840 is about 14350.5693266853. The cubic root of 205938840 is about 590.5356047899.

The spelling of 205938840 in words is "two hundred five million, nine hundred thirty-eight thousand, eight hundred forty".