961889280 has 176 divisors, whose sum is σ = 3356817984. Its totient is φ = 233144320.

The previous prime is 961889261. The next prime is 961889303. The reversal of 961889280 is 82988169.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166114 + ... + 171806.

Almost surely, 2^961889280 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 961889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678408992).

961889280 is an abundant number, since it is smaller than the sum of its proper divisors (2394928704).

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

961889280 is a wasteful number, since it uses less digits than its factorization.

961889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5714 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 961889280 is about 31014.3399091453. The cubic root of 961889280 is about 987.1315397241.

The spelling of 961889280 in words is "nine hundred sixty-one million, eight hundred eighty-nine thousand, two hundred eighty".