961963128 has 192 divisors, whose sum is σ = 3111413760. Its totient is φ = 272750976.

The previous prime is 961963127. The next prime is 961963159. The reversal of 961963128 is 821369169.

It is a happy number.

961963128 is a `hidden beast` number, since 9 + 6 + 1 + 9 + 631 + 2 + 8 = 666.

961963128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961963127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3034426 + ... + 3034742.

It is an arithmetic number, because the mean of its divisors is an integer number (16205280).

Almost surely, 2^961963128 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 961963128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555706880).

961963128 is an abundant number, since it is smaller than the sum of its proper divisors (2149450632).

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

961963128 is a wasteful number, since it uses less digits than its factorization.

961963128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 961963128 is about 31015.5304323495. The cubic root of 961963128 is about 987.1568010599.

The spelling of 961963128 in words is "nine hundred sixty-one million, nine hundred sixty-three thousand, one hundred twenty-eight".