205826340 has 72 divisors (see below), whose sum is σ = 597018240. Its totient is φ = 52981376.

The previous prime is 205826321. The next prime is 205826353. The reversal of 205826340 is 43628502.

205826340 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

205826340 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 205826298 and 205826307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48421 + ... + 52499.

It is an arithmetic number, because the mean of its divisors is an integer number (8291920).

Almost surely, 2^205826340 is an apocalyptic number.

205826340 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 205826340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298509120).

205826340 is an abundant number, since it is smaller than the sum of its proper divisors (391191900).

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

205826340 is a wasteful number, since it uses less digits than its factorization.

205826340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 205826340 is about 14346.6490861107. The cubic root of 205826340 is about 590.4280528639.

The spelling of 205826340 in words is "two hundred five million, eight hundred twenty-six thousand, three hundred forty".