961133568 has 176 divisors, whose sum is σ = 2729158656. Its totient is φ = 300072960.

The previous prime is 961133561. The next prime is 961133623. The reversal of 961133568 is 865331169.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961133561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4309905 + ... + 4310127.

Almost surely, 2^961133568 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 961133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364579328).

961133568 is an abundant number, since it is smaller than the sum of its proper divisors (1768025088).

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

961133568 is a wasteful number, since it uses less digits than its factorization.

961133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 961133568 is about 31002.1542477293. The cubic root of 961133568 is about 986.8729574342.

It can be divided in two parts, 96113 and 3568, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 961133568 in words is "nine hundred sixty-one million, one hundred thirty-three thousand, five hundred sixty-eight".