960128224 has 72 divisors (see below), whose sum is σ = 2109295944. Its totient is φ = 429792000.

The previous prime is 960128203. The next prime is 960128233. The reversal of 960128224 is 422821069.

It is a self number, because there is not a number n which added to its sum of digits gives 960128224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257574 + ... + 261274.

It is an arithmetic number, because the mean of its divisors is an integer number (29295777).

Almost surely, 2^960128224 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 960128224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054647972).

960128224 is an abundant number, since it is smaller than the sum of its proper divisors (1149167720).

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

960128224 is a wasteful number, since it uses less digits than its factorization.

960128224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 960128224 is about 30985.9359064721. The cubic root of 960128224 is about 986.5287482737.

The spelling of 960128224 in words is "nine hundred sixty million, one hundred twenty-eight thousand, two hundred twenty-four".