961843992 has 128 divisors (see below), whose sum is σ = 2658700800. Its totient is φ = 288617472.

The previous prime is 961843991. The next prime is 961844017. The reversal of 961843992 is 299348169.

It is a super-3 number, since 3×961843992³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961843991) 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 31 ways as a sum of consecutive naturals, for example, 3072828 + ... + 3073140.

It is an arithmetic number, because the mean of its divisors is an integer number (20771100).

Almost surely, 2^961843992 is an apocalyptic number.

961843992 is a gapful number since it is divisible by the number (92) 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 961843992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329350400).

961843992 is an abundant number, since it is smaller than the sum of its proper divisors (1696856808).

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

961843992 is a wasteful number, since it uses less digits than its factorization.

961843992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 961843992 is about 31013.6097866727. The cubic root of 961843992 is about 987.1160473260.

The spelling of 961843992 in words is "nine hundred sixty-one million, eight hundred forty-three thousand, nine hundred ninety-two".