205818080 has 96 divisors (see below), whose sum is σ = 533814624. Its totient is φ = 74520576.

The previous prime is 205818061. The next prime is 205818113. The reversal of 205818080 is 80818502.

It is a super-2 number, since 2×205818080² = 84722164109772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109307 + ... + 111173.

It is an arithmetic number, because the mean of its divisors is an integer number (5560569).

Almost surely, 2^205818080 is an apocalyptic number.

205818080 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 205818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266907312).

205818080 is an abundant number, since it is smaller than the sum of its proper divisors (327996544).

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

205818080 is a wasteful number, since it uses less digits than its factorization.

205818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 205818080 is about 14346.3612111225. The cubic root of 205818080 is about 590.4201546183.

The spelling of 205818080 in words is "two hundred five million, eight hundred eighteen thousand, eighty".