961196544 has 600 divisors, whose sum is σ = 3725373168. Its totient is φ = 243855360.

The previous prime is 961196543. The next prime is 961196557. The reversal of 961196544 is 445691169.

It is a happy number.

961196544 is a `hidden beast` number, since 9 + 6 + 11 + 96 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 961196544.

It is not an unprimeable number, because it can be changed into a prime (961196543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22353387 + ... + 22353429.

Almost surely, 2^961196544 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 961196544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862686584).

961196544 is an abundant number, since it is smaller than the sum of its proper divisors (2764176624).

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

961196544 is a wasteful number, since it uses less digits than its factorization.

961196544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 961196544 is about 31003.1699024471. The cubic root of 961196544 is about 986.8945111343.

The spelling of 961196544 in words is "nine hundred sixty-one million, one hundred ninety-six thousand, five hundred forty-four".