961663752 has 192 divisors, whose sum is σ = 3269185920. Its totient is φ = 258536448.

The previous prime is 961663721. The next prime is 961663753. The reversal of 961663752 is 257366169.

961663752 is a `hidden beast` number, since 9 + 6 + 1 + 6 + 637 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 961663698 and 961663707.

It is not an unprimeable number, because it can be changed into a prime (961663753) 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, 229258 + ... + 233414.

It is an arithmetic number, because the mean of its divisors is an integer number (17027010).

Almost surely, 2^961663752 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 961663752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634592960).

961663752 is an abundant number, since it is smaller than the sum of its proper divisors (2307522168).

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

961663752 is a wasteful number, since it uses less digits than its factorization.

961663752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4186 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 961663752 is about 31010.7038294844. The cubic root of 961663752 is about 987.0543848970.

The spelling of 961663752 in words is "nine hundred sixty-one million, six hundred sixty-three thousand, seven hundred fifty-two".