960968120 has 64 divisors (see below), whose sum is σ = 2477260800. Its totient is φ = 328648320.

The previous prime is 960968119. The next prime is 960968147. The reversal of 960968120 is 21869069.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113225 + ... + 121415.

It is an arithmetic number, because the mean of its divisors is an integer number (38707200).

Almost surely, 2^960968120 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 960968120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238630400).

960968120 is an abundant number, since it is smaller than the sum of its proper divisors (1516292680).

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

960968120 is a wasteful number, since it uses less digits than its factorization.

960968120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8628 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 960968120 is about 30999.4858021871. The cubic root of 960968120 is about 986.8163279389.

The spelling of 960968120 in words is "nine hundred sixty million, nine hundred sixty-eight thousand, one hundred twenty".