205920000 has 540 divisors, whose sum is σ = 871614744. Its totient is φ = 46080000.

The previous prime is 205919983. The next prime is 205920017. The reversal of 205920000 is 29502.

It is an interprime number because it is at equal distance from previous prime (205919983) and next prime (205920017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839994 + ... + 15840006.

Almost surely, 2^205920000 is an apocalyptic number.

205920000 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 205920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435807372).

205920000 is an abundant number, since it is smaller than the sum of its proper divisors (665694744).

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

205920000 is a wasteful number, since it uses less digits than its factorization.

205920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 205920000 is about 14349.9128917217. The cubic root of 205920000 is about 590.5175961583.

Adding to 205920000 its reverse (29502), we get a palindrome (205949502).

The spelling of 205920000 in words is "two hundred five million, nine hundred twenty thousand".