960933120 has 216 divisors, whose sum is σ = 3570737184. Its totient is φ = 219598848.

The previous prime is 960933079. The next prime is 960933121. The reversal of 960933120 is 21339069.

It is a super-2 number, since 2×960933120² = 1846784922225868800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960933121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185607 + ... + 190713.

Almost surely, 2^960933120 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 960933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785368592).

960933120 is an abundant number, since it is smaller than the sum of its proper divisors (2609804064).

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

960933120 is a wasteful number, since it uses less digits than its factorization.

960933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 960933120 is about 30998.9212715540. The cubic root of 960933120 is about 986.8043473157.

The spelling of 960933120 in words is "nine hundred sixty million, nine hundred thirty-three thousand, one hundred twenty".