205897824 has 144 divisors (see below), whose sum is σ = 645974784. Its totient is φ = 61689600.

The previous prime is 205897823. The next prime is 205897831. The reversal of 205897824 is 428798502.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 205897824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205897823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325989 + ... + 326619.

It is an arithmetic number, because the mean of its divisors is an integer number (4485936).

Almost surely, 2^205897824 is an apocalyptic number.

205897824 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 205897824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322987392).

205897824 is an abundant number, since it is smaller than the sum of its proper divisors (440076960).

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

205897824 is a wasteful number, since it uses less digits than its factorization.

205897824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 205897824 is about 14349.1401833002. The cubic root of 205897824 is about 590.4963973297.

The spelling of 205897824 in words is "two hundred five million, eight hundred ninety-seven thousand, eight hundred twenty-four".