205215320 has 64 divisors (see below), whose sum is σ = 476802720. Its totient is φ = 79432704.

The previous prime is 205215317. The next prime is 205215331. The reversal of 205215320 is 23512502.

205215320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205215320² = 84226655125404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 205215292 and 205215301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463019 + ... + 463461.

Almost surely, 2^205215320 is an apocalyptic number.

205215320 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 205215320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238401360).

205215320 is an abundant number, since it is smaller than the sum of its proper divisors (271587400).

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

205215320 is a wasteful number, since it uses less digits than its factorization.

205215320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205215320 is about 14325.3383904186. The cubic root of 205215320 is about 589.8432217737.

Adding to 205215320 its reverse (23512502), we get a palindrome (228727822).

The spelling of 205215320 in words is "two hundred five million, two hundred fifteen thousand, three hundred twenty".