876096 has 105 divisors (see below), whose sum is σ = 2812161. Its totient is φ = 269568.

The previous prime is 876079. The next prime is 876097. The reversal of 876096 is 690678.

The square root of 876096 is 936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 746496 = 360^2 + 864^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 876096.

It is not an unprimeable number, because it can be changed into a prime (876097) by changing a digit.

876096 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 14 ways as a sum of consecutive naturals, for example, 67386 + ... + 67398.

2⁸⁷⁶⁰⁹⁶ is an apocalyptic number.

876096 is the 936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876096

876096 is an abundant number, since it is smaller than the sum of its proper divisors (1936065).

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

876096 is a wasteful number, since it uses less digits than its factorization.

876096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 18 counting only the distinct ones).

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

The cubic root of 876096 is about 95.6864771923.

Multiplying 876096 by its sum of digits (36), we get a square (31539456 = 5616²).

876096 divided by its sum of digits (36) gives a square (24336 = 156²).

The spelling of 876096 in words is "eight hundred seventy-six thousand, ninety-six".