205529940 has 192 divisors, whose sum is σ = 797368320. Its totient is φ = 42698880.

The previous prime is 205529927. The next prime is 205529953. The reversal of 205529940 is 49925502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205529927) and next prime (205529953).

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

It is a junction number, because it is equal to n+sod(n) for n = 205529895 and 205529904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39109 + ... + 44051.

It is an arithmetic number, because the mean of its divisors is an integer number (4152960).

Almost surely, 2^205529940 is an apocalyptic number.

205529940 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 205529940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398684160).

205529940 is an abundant number, since it is smaller than the sum of its proper divisors (591838380).

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

205529940 is a wasteful number, since it uses less digits than its factorization.

205529940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 205529940 is about 14336.3154262174. The cubic root of 205529940 is about 590.1445016165.

The spelling of 205529940 in words is "two hundred five million, five hundred twenty-nine thousand, nine hundred forty".