869760 has 96 divisors (see below), whose sum is σ = 3023280. Its totient is φ = 230400.

The previous prime is 869753. The next prime is 869773. The reversal of 869760 is 67968.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

869760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5685 + ... + 5835.

2⁸⁶⁹⁷⁶⁰ is an apocalyptic number.

869760 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 869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511640).

869760 is an abundant number, since it is smaller than the sum of its proper divisors (2153520).

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

869760 is a wasteful number, since it uses less digits than its factorization.

869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

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

The square root of 869760 is about 932.6092429308. The cubic root of 869760 is about 95.4552479849.

The spelling of 869760 in words is "eight hundred sixty-nine thousand, seven hundred sixty".