200682144 has 192 divisors, whose sum is σ = 668062080. Its totient is φ = 58060800.

The previous prime is 200682143. The next prime is 200682149. The reversal of 200682144 is 441286002.

200682144 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 (27).

It is not an unprimeable number, because it can be changed into a prime (200682143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190419 + ... + 191469.

It is an arithmetic number, because the mean of its divisors is an integer number (3479490).

Almost surely, 2^200682144 is an apocalyptic number.

200682144 is a gapful number since it is divisible by the number (24) 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 200682144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334031040).

200682144 is an abundant number, since it is smaller than the sum of its proper divisors (467379936).

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

200682144 is a wasteful number, since it uses less digits than its factorization.

200682144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 200682144 is about 14166.2325266812. The cubic root of 200682144 is about 585.4676602318.

The spelling of 200682144 in words is "two hundred million, six hundred eighty-two thousand, one hundred forty-four".