206992640 has 144 divisors (see below), whose sum is σ = 529804800. Its totient is φ = 77316096.

The previous prime is 206992637. The next prime is 206992651. The reversal of 206992640 is 46299602.

It is a junction number, because it is equal to n+sod(n) for n = 206992594 and 206992603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325716 + ... + 2325804.

It is an arithmetic number, because the mean of its divisors is an integer number (3679200).

Almost surely, 2^206992640 is an apocalyptic number.

206992640 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 206992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264902400).

206992640 is an abundant number, since it is smaller than the sum of its proper divisors (322812160).

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

206992640 is an equidigital number, since it uses as much as digits as its factorization.

206992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 206992640 is about 14387.2387899833. The cubic root of 206992640 is about 591.5411589457.

The spelling of 206992640 in words is "two hundred six million, nine hundred ninety-two thousand, six hundred forty".