960558144 has 168 divisors, whose sum is σ = 3145901760. Its totient is φ = 253274112.

The previous prime is 960558143. The next prime is 960558161. The reversal of 960558144 is 441855069.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 960558096 and 960558105.

It is not an unprimeable number, because it can be changed into a prime (960558143) 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 23 ways as a sum of consecutive naturals, for example, 225022 + ... + 229250.

Almost surely, 2^960558144 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 960558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572950880).

960558144 is an abundant number, since it is smaller than the sum of its proper divisors (2185343616).

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

960558144 is a wasteful number, since it uses less digits than its factorization.

960558144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 960558144 is about 30992.8724709408. The cubic root of 960558144 is about 986.6759734533.

The spelling of 960558144 in words is "nine hundred sixty million, five hundred fifty-eight thousand, one hundred forty-four".