205632120 has 32 divisors (see below), whose sum is σ = 616896720. Its totient is φ = 54835200.

The previous prime is 205632113. The next prime is 205632131. The reversal of 205632120 is 21236502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 856681 + ... + 856920.

Almost surely, 2^205632120 is an apocalyptic number.

205632120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205632120 is an abundant number, since it is smaller than the sum of its proper divisors (411264600).

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

205632120 is a wasteful number, since it uses less digits than its factorization.

205632120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713615 (or 1713611 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 205632120 is about 14339.8786605745. The cubic root of 205632120 is about 590.2422829503.

Adding to 205632120 its reverse (21236502), we get a palindrome (226868622).

The spelling of 205632120 in words is "two hundred five million, six hundred thirty-two thousand, one hundred twenty".