205368020 has 48 divisors (see below), whose sum is σ = 506677248. Its totient is φ = 68933760.

The previous prime is 205367999. The next prime is 205368061. The reversal of 205368020 is 20863502.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 33044 + ... + 38763.

It is an arithmetic number, because the mean of its divisors is an integer number (10555776).

Almost surely, 2^205368020 is an apocalyptic number.

205368020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205368020 is an abundant number, since it is smaller than the sum of its proper divisors (301309228).

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

205368020 is a wasteful number, since it uses less digits than its factorization.

205368020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71840 (or 71838 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 205368020 is about 14330.6671163627. The cubic root of 205368020 is about 589.9894855926.

The spelling of 205368020 in words is "two hundred five million, three hundred sixty-eight thousand, twenty".