961630200 has 144 divisors (see below), whose sum is σ = 3239056080. Its totient is φ = 255674880.

The previous prime is 961630151. The next prime is 961630231. The reversal of 961630200 is 2036169.

It is a happy number.

961630200 is a `hidden beast` number, since 9 + 6 + 1 + 630 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 876052 + ... + 877148.

It is an arithmetic number, because the mean of its divisors is an integer number (22493445).

Almost surely, 2^961630200 is an apocalyptic number.

961630200 is a gapful number since it is divisible by the number (90) 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 961630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619528040).

961630200 is an abundant number, since it is smaller than the sum of its proper divisors (2277425880).

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

961630200 is a wasteful number, since it uses less digits than its factorization.

961630200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 961630200 is about 31010.1628502657. The cubic root of 961630200 is about 987.0429054743.

Adding to 961630200 its reverse (2036169), we get a palindrome (963666369).

The spelling of 961630200 in words is "nine hundred sixty-one million, six hundred thirty thousand, two hundred".