205996824 has 128 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 61948800.

The previous prime is 205996823. The next prime is 205996909. The reversal of 205996824 is 428699502.

It is a self number, because there is not a number n which added to its sum of digits gives 205996824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205996823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429817 + ... + 430295.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^205996824 is an apocalyptic number.

205996824 is a gapful number since it is divisible by the number (24) 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 205996824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

205996824 is an abundant number, since it is smaller than the sum of its proper divisors (422995176).

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

205996824 is a wasteful number, since it uses less digits than its factorization.

205996824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 205996824 is about 14352.5894527782. The cubic root of 205996824 is about 590.5910231903.

The spelling of 205996824 in words is "two hundred five million, nine hundred ninety-six thousand, eight hundred twenty-four".