961631200 has 72 divisors (see below), whose sum is σ = 2357427240. Its totient is φ = 383040000.

The previous prime is 961631189. The next prime is 961631207. The reversal of 961631200 is 2136169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961631207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198406 + ... + 203194.

It is an arithmetic number, because the mean of its divisors is an integer number (32742045).

Almost surely, 2^961631200 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 961631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178713620).

961631200 is an abundant number, since it is smaller than the sum of its proper divisors (1395796040).

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

961631200 is a wasteful number, since it uses less digits than its factorization.

961631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 961631200 is about 31010.1789740079. The cubic root of 961631200 is about 987.0432476164.

Adding to 961631200 its reverse (2136169), we get a palindrome (963767369).

The spelling of 961631200 in words is "nine hundred sixty-one million, six hundred thirty-one thousand, two hundred".