206989960 has 64 divisors (see below), whose sum is σ = 504662400. Its totient is φ = 76102656.

The previous prime is 206989957. The next prime is 206989961. The reversal of 206989960 is 69989602.

It is a happy number.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (206989961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25701 + ... + 32779.

It is an arithmetic number, because the mean of its divisors is an integer number (7885350).

Almost surely, 2^206989960 is an apocalyptic number.

206989960 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 206989960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252331200).

206989960 is an abundant number, since it is smaller than the sum of its proper divisors (297672440).

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

206989960 is a wasteful number, since it uses less digits than its factorization.

206989960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 206989960 is about 14387.1456515877. The cubic root of 206989960 is about 591.5386059771.

It can be divided in two parts, 2069 and 89960, that added together give a palindrome (92029).

The spelling of 206989960 in words is "two hundred six million, nine hundred eighty-nine thousand, nine hundred sixty".