200581940 has 48 divisors (see below), whose sum is σ = 455344848. Its totient is φ = 73780224.

The previous prime is 200581939. The next prime is 200581943. The reversal of 200581940 is 49185002.

It can be written as a sum of positive squares in 8 ways, for example, as 6091024 + 194490916 = 2468^2 + 13946^2 .

It is a super-2 number, since 2×200581940² = 80466229308327200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200581943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74864 + ... + 77496.

It is an arithmetic number, because the mean of its divisors is an integer number (9486351).

Almost surely, 2^200581940 is an apocalyptic number.

200581940 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 200581940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227672424).

200581940 is an abundant number, since it is smaller than the sum of its proper divisors (254762908).

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

200581940 is a wasteful number, since it uses less digits than its factorization.

200581940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 200581940 is about 14162.6953649367. The cubic root of 200581940 is about 585.3701993628.

The spelling of 200581940 in words is "two hundred million, five hundred eighty-one thousand, nine hundred forty".