960160640 has 64 divisors (see below), whose sum is σ = 2313653760. Its totient is φ = 381007872.

The previous prime is 960160639. The next prime is 960160651. The reversal of 960160640 is 46061069.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 960160597 and 960160606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75374 + ... + 87186.

It is an arithmetic number, because the mean of its divisors is an integer number (36150840).

Almost surely, 2^960160640 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 960160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156826880).

960160640 is an abundant number, since it is smaller than the sum of its proper divisors (1353493120).

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

960160640 is a wasteful number, since it uses less digits than its factorization.

960160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11959 (or 11947 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 960160640 is about 30986.4589780762. The cubic root of 960160640 is about 986.5398505950.

The spelling of 960160640 in words is "nine hundred sixty million, one hundred sixty thousand, six hundred forty".