205625080 has 64 divisors (see below), whose sum is σ = 483537600. Its totient is φ = 78597120.

The previous prime is 205625059. The next prime is 205625117. The reversal of 205625080 is 80526502.

It is a super-3 number, since 3×205625080³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 118620 + ... + 120340.

It is an arithmetic number, because the mean of its divisors is an integer number (7555275).

Almost surely, 2^205625080 is an apocalyptic number.

205625080 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 205625080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241768800).

205625080 is an abundant number, since it is smaller than the sum of its proper divisors (277912520).

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

205625080 is a wasteful number, since it uses less digits than its factorization.

205625080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 205625080 is about 14339.6331891719. The cubic root of 205625080 is about 590.2355470488.

The spelling of 205625080 in words is "two hundred five million, six hundred twenty-five thousand, eighty".