205872030 has 384 divisors, whose sum is σ = 733824000. Its totient is φ = 41150592.

The previous prime is 205871983. The next prime is 205872031. The reversal of 205872030 is 30278502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 205871985 and 205872003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205872031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10835361 + ... + 10835379.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^205872030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205872030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912000).

205872030 is an abundant number, since it is smaller than the sum of its proper divisors (527951970).

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

205872030 is a wasteful number, since it uses less digits than its factorization.

205872030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 205872030 is about 14348.2413556505. The cubic root of 205872030 is about 590.4717380111.

It can be divided in two parts, 2058 and 72030, that added together give a cube (74088 = 42³).

The spelling of 205872030 in words is "two hundred five million, eight hundred seventy-two thousand, thirty".