200131680 has 288 divisors, whose sum is σ = 750145536. Its totient is φ = 44706816.

The previous prime is 200131663. The next prime is 200131681. The reversal of 200131680 is 86131002.

200131680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200131681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1575777 + ... + 1575903.

It is an arithmetic number, because the mean of its divisors is an integer number (2604672).

Almost surely, 2^200131680 is an apocalyptic number.

200131680 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 200131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375072768).

200131680 is an abundant number, since it is smaller than the sum of its proper divisors (550013856).

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

200131680 is a wasteful number, since it uses less digits than its factorization.

200131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 200131680 is about 14146.7904487202. The cubic root of 200131680 is about 584.9318643707.

Adding to 200131680 its reverse (86131002), we get a palindrome (286262682).

The spelling of 200131680 in words is "two hundred million, one hundred thirty-one thousand, six hundred eighty".