200768040 has 192 divisors, whose sum is σ = 719409600. Its totient is φ = 48554880.

The previous prime is 200768033. The next prime is 200768047. The reversal of 200768040 is 40867002.

It is an interprime number because it is at equal distance from previous prime (200768033) and next prime (200768047).

It is a junction number, because it is equal to n+sod(n) for n = 200767995 and 200768013.

It is not an unprimeable number, because it can be changed into a prime (200768047) 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 47 ways as a sum of consecutive naturals, for example, 478951 + ... + 479369.

It is an arithmetic number, because the mean of its divisors is an integer number (3746925).

Almost surely, 2^200768040 is an apocalyptic number.

200768040 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 200768040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359704800).

200768040 is an abundant number, since it is smaller than the sum of its proper divisors (518641560).

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

200768040 is a wasteful number, since it uses less digits than its factorization.

200768040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 200768040 is about 14169.2639187786. The cubic root of 200768040 is about 585.5511789677.

The spelling of 200768040 in words is "two hundred million, seven hundred sixty-eight thousand, forty".