206982960 has 120 divisors (see below), whose sum is σ = 677478960. Its totient is φ = 52268544.

The previous prime is 206982953. The next prime is 206982977. The reversal of 206982960 is 69289602.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85446 + ... + 87834.

It is an arithmetic number, because the mean of its divisors is an integer number (5645658).

Almost surely, 2^206982960 is an apocalyptic number.

206982960 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 206982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338739480).

206982960 is an abundant number, since it is smaller than the sum of its proper divisors (470496000).

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

206982960 is a wasteful number, since it uses less digits than its factorization.

206982960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 206982960 is about 14386.9023768148. The cubic root of 206982960 is about 591.5319376715.

The spelling of 206982960 in words is "two hundred six million, nine hundred eighty-two thousand, nine hundred sixty".