960321824 has 96 divisors (see below), whose sum is σ = 2377372032. Its totient is φ = 374035200.

The previous prime is 960321821. The next prime is 960321827. The reversal of 960321824 is 428123069.

It is an interprime number because it is at equal distance from previous prime (960321821) and next prime (960321827).

It is not an unprimeable number, because it can be changed into a prime (960321821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296534 + ... + 299754.

It is an arithmetic number, because the mean of its divisors is an integer number (24764292).

Almost surely, 2^960321824 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 960321824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188686016).

960321824 is an abundant number, since it is smaller than the sum of its proper divisors (1417050208).

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

960321824 is a wasteful number, since it uses less digits than its factorization.

960321824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 960321824 is about 30989.0597469494. The cubic root of 960321824 is about 986.5950516157.

The spelling of 960321824 in words is "nine hundred sixty million, three hundred twenty-one thousand, eight hundred twenty-four".