961248200 has 192 divisors, whose sum is σ = 2581441920. Its totient is φ = 332217600.

The previous prime is 961248193. The next prime is 961248203. The reversal of 961248200 is 2842169.

It is not an unprimeable number, because it can be changed into a prime (961248203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6122522 + ... + 6122678.

It is an arithmetic number, because the mean of its divisors is an integer number (13445010).

Almost surely, 2^961248200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290720960).

961248200 is an abundant number, since it is smaller than the sum of its proper divisors (1620193720).

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

961248200 is a wasteful number, since it uses less digits than its factorization.

961248200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 961248200 is about 31004.0029673589. The cubic root of 961248200 is about 986.9121898321.

The spelling of 961248200 in words is "nine hundred sixty-one million, two hundred forty-eight thousand, two hundred".