870688 has 72 divisors (see below), whose sum is σ = 2213568. Its totient is φ = 329472.

The previous prime is 870679. The next prime is 870691. The reversal of 870688 is 886078.

It is an unprimeable 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, 37845 + ... + 37867.

It is an arithmetic number, because the mean of its divisors is an integer number (30744).

2⁸⁷⁰⁶⁸⁸ 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 870688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106784).

870688 is an abundant number, since it is smaller than the sum of its proper divisors (1342880).

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

870688 is a wasteful number, since it uses less digits than its factorization.

870688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 870688 is about 933.1066391362. The cubic root of 870688 is about 95.4891849270.

It can be divided in two parts, 8 and 70688, that multiplied together give a square (565504 = 752²).

The spelling of 870688 in words is "eight hundred seventy thousand, six hundred eighty-eight".