876960 has 192 divisors, whose sum is σ = 3628800. Its totient is φ = 193536.

The previous prime is 876947. The next prime is 876971. The reversal of 876960 is 69678.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 876960.

It is an unprimeable number.

876960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30226 + ... + 30254.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2⁸⁷⁶⁹⁶⁰ is an apocalyptic number.

876960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

876960 is an abundant number, since it is smaller than the sum of its proper divisors (2751840).

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

876960 is a wasteful number, since it uses less digits than its factorization.

876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 876960 is about 936.4614247261. The cubic root of 876960 is about 95.7179219784.

The spelling of 876960 in words is "eight hundred seventy-six thousand, nine hundred sixty".