206961580 has 96 divisors (see below), whose sum is σ = 525127680. Its totient is φ = 67011840.

The previous prime is 206961577. The next prime is 206961581. The reversal of 206961580 is 85169602.

It is not an unprimeable number, because it can be changed into a prime (206961581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186066 + ... + 187174.

It is an arithmetic number, because the mean of its divisors is an integer number (5470080).

Almost surely, 2^206961580 is an apocalyptic number.

206961580 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 206961580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262563840).

206961580 is an abundant number, since it is smaller than the sum of its proper divisors (318166100).

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

206961580 is a wasteful number, since it uses less digits than its factorization.

206961580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 206961580 is about 14386.1593206804. The cubic root of 206961580 is about 591.5115698301.

The spelling of 206961580 in words is "two hundred six million, nine hundred sixty-one thousand, five hundred eighty".