200968640 has 56 divisors (see below), whose sum is σ = 479785680. Its totient is φ = 80181248.

The previous prime is 200968639. The next prime is 200968657. The reversal of 200968640 is 46869002.

200968640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200968640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210404 + ... + 211356.

Almost surely, 2^200968640 is an apocalyptic number.

200968640 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 200968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239892840).

200968640 is an abundant number, since it is smaller than the sum of its proper divisors (278817040).

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

200968640 is an equidigital number, since it uses as much as digits as its factorization.

200968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 200968640 is about 14176.3408536900. The cubic root of 200968640 is about 585.7461344116.

The spelling of 200968640 in words is "two hundred million, nine hundred sixty-eight thousand, six hundred forty".