206513320 has 128 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 70456320.

The previous prime is 206513287. The next prime is 206513341. The reversal of 206513320 is 23315602.

It is a junction number, because it is equal to n+sod(n) for n = 206513291 and 206513300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370482 + ... + 371038.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^206513320 is an apocalyptic number.

206513320 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 206513320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

206513320 is an abundant number, since it is smaller than the sum of its proper divisors (333452120).

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

206513320 is a wasteful number, since it uses less digits than its factorization.

206513320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 206513320 is about 14370.5713178008. The cubic root of 206513320 is about 591.0842076792.

Adding to 206513320 its reverse (23315602), we get a palindrome (229828922).

The spelling of 206513320 in words is "two hundred six million, five hundred thirteen thousand, three hundred twenty".