960385104 has 180 divisors, whose sum is σ = 3153458880. Its totient is φ = 272039040.

The previous prime is 960385057. The next prime is 960385109. The reversal of 960385104 is 401583069.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960385109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 923817 + ... + 924855.

It is an arithmetic number, because the mean of its divisors is an integer number (17519216).

Almost surely, 2^960385104 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 960385104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576729440).

960385104 is an abundant number, since it is smaller than the sum of its proper divisors (2193073776).

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

960385104 is a wasteful number, since it uses less digits than its factorization.

960385104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 960385104 is about 30990.0807356160. The cubic root of 960385104 is about 986.6167215608.

The spelling of 960385104 in words is "nine hundred sixty million, three hundred eighty-five thousand, one hundred four".