961331328 has 192 divisors, whose sum is σ = 2964299520. Its totient is φ = 309795840.

The previous prime is 961331323. The next prime is 961331333. The reversal of 961331328 is 823133169.

961331328 is a `hidden beast` number, since 9 + 613 + 3 + 1 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (961331323) and next prime (961331333).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 961331292 and 961331301.

It is not an unprimeable number, because it can be changed into a prime (961331323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963726 + ... + 964722.

It is an arithmetic number, because the mean of its divisors is an integer number (15439060).

Almost surely, 2^961331328 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 961331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482149760).

961331328 is an abundant number, since it is smaller than the sum of its proper divisors (2002968192).

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

961331328 is an equidigital number, since it uses as much as digits as its factorization.

961331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1033 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 961331328 is about 31005.3435394611. The cubic root of 961331328 is about 986.9406381460.

It can be divided in two parts, 96133 and 1328, that added together give a triangular number (97461 = T₄₄₁).

The spelling of 961331328 in words is "nine hundred sixty-one million, three hundred thirty-one thousand, three hundred twenty-eight".