961303200 has 288 divisors, whose sum is σ = 3677389632. Its totient is φ = 215040000.

The previous prime is 961303183. The next prime is 961303207. The reversal of 961303200 is 2303169.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (961303207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341800 + ... + 344600.

It is an arithmetic number, because the mean of its divisors is an integer number (12768714).

Almost surely, 2^961303200 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 961303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838694816).

961303200 is an abundant number, since it is smaller than the sum of its proper divisors (2716086432).

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

961303200 is a wasteful number, since it uses less digits than its factorization.

961303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 961303200 is about 31004.8899369116. The cubic root of 961303200 is about 986.9310122809.

Adding to 961303200 its reverse (2303169), we get a palindrome (963606369).

The spelling of 961303200 in words is "nine hundred sixty-one million, three hundred three thousand, two hundred".