960792 has 96 divisors (see below), whose sum is σ = 3009600. Its totient is φ = 254016.

The previous prime is 960763. The next prime is 960793. The reversal of 960792 is 297069.

960792 is a modest number, since divided by 792 gives 96 as remainder.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960793) 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, 22323 + ... + 22365.

It is an arithmetic number, because the mean of its divisors is an integer number (31350).

2⁹⁶⁰⁷⁹² 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 960792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504800).

960792 is an abundant number, since it is smaller than the sum of its proper divisors (2048808).

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

960792 is a wasteful number, since it uses less digits than its factorization.

960792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 960792 is about 980.1999795960. The cubic root of 960792 is about 98.6756038492.

The spelling of 960792 in words is "nine hundred sixty thousand, seven hundred ninety-two".