200261320 has 64 divisors (see below), whose sum is σ = 526965120. Its totient is φ = 67060224.

The previous prime is 200261317. The next prime is 200261351. The reversal of 200261320 is 23162002.

It is a junction number, because it is equal to n+sod(n) for n = 200261294 and 200261303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3724 + ... + 20356.

It is an arithmetic number, because the mean of its divisors is an integer number (8233830).

Almost surely, 2^200261320 is an apocalyptic number.

200261320 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 200261320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263482560).

200261320 is an abundant number, since it is smaller than the sum of its proper divisors (326703800).

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

200261320 is a wasteful number, since it uses less digits than its factorization.

200261320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16694 (or 16690 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 200261320 is about 14151.3716649659. The cubic root of 200261320 is about 585.0581382305.

The spelling of 200261320 in words is "two hundred million, two hundred sixty-one thousand, three hundred twenty".