205985700 has 288 divisors, whose sum is σ = 719953920. Its totient is φ = 50371200.

The previous prime is 205985699. The next prime is 205985711. The reversal of 205985700 is 7589502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1925047 + ... + 1925153.

It is an arithmetic number, because the mean of its divisors is an integer number (2499840).

Almost surely, 2^205985700 is an apocalyptic number.

205985700 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 205985700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

205985700 is an abundant number, since it is smaller than the sum of its proper divisors (513968220).

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

205985700 is a wasteful number, since it uses less digits than its factorization.

205985700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 205985700 is about 14352.2019216565. The cubic root of 205985700 is about 590.5803921966.

The spelling of 205985700 in words is "two hundred five million, nine hundred eighty-five thousand, seven hundred".