959930160 has 640 divisors, whose sum is σ = 3985459200. Its totient is φ = 185794560.

The previous prime is 959930149. The next prime is 959930161. The reversal of 959930160 is 61039959.

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

It is not an unprimeable number, because it can be changed into a prime (959930161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15736530 + ... + 15736590.

It is an arithmetic number, because the mean of its divisors is an integer number (6227280).

Almost surely, 2^959930160 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 959930160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992729600).

959930160 is an abundant number, since it is smaller than the sum of its proper divisors (3025529040).

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

959930160 is a wasteful number, since it uses less digits than its factorization.

959930160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The square root of 959930160 is about 30982.7397110068. The cubic root of 959930160 is about 986.4609068949.

The spelling of 959930160 in words is "nine hundred fifty-nine million, nine hundred thirty thousand, one hundred sixty".