961892800 has 336 divisors, whose sum is σ = 2793821184. Its totient is φ = 322560000.

The previous prime is 961892761. The next prime is 961892807. The reversal of 961892800 is 8298169.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961892807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22369579 + ... + 22369621.

It is an arithmetic number, because the mean of its divisors is an integer number (8314944).

Almost surely, 2^961892800 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 961892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396910592).

961892800 is an abundant number, since it is smaller than the sum of its proper divisors (1831928384).

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

961892800 is a wasteful number, since it uses less digits than its factorization.

961892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 961892800 is about 31014.3966570366. The cubic root of 961892800 is about 987.1327438470.

It can be divided in two parts, 96189 and 2800, that added together give a palindrome (98989).

The spelling of 961892800 in words is "nine hundred sixty-one million, eight hundred ninety-two thousand, eight hundred".