205575060 has 72 divisors (see below), whose sum is σ = 607563936. Its totient is φ = 51929280.

The previous prime is 205575053. The next prime is 205575061. The reversal of 205575060 is 60575502.

It is a super-2 number, since 2×205575060² = 84522210588007200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205575061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16915 + ... + 26405.

It is an arithmetic number, because the mean of its divisors is an integer number (8438388).

Almost surely, 2^205575060 is an apocalyptic number.

205575060 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 205575060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303781968).

205575060 is an abundant number, since it is smaller than the sum of its proper divisors (401988876).

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

205575060 is a wasteful number, since it uses less digits than its factorization.

205575060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 205575060 is about 14337.8889659531. Note that the first 3 decimals coincide. The cubic root of 205575060 is about 590.1876832760.

The spelling of 205575060 in words is "two hundred five million, five hundred seventy-five thousand, sixty".