896688 has 60 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 275328.

The previous prime is 896681. The next prime is 896717. The reversal of 896688 is 886698.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (896681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1633 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2⁸⁹⁶⁶⁸⁸ 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 896688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

896688 is an abundant number, since it is smaller than the sum of its proper divisors (1811472).

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

896688 is a wasteful number, since it uses less digits than its factorization.

896688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 896688 is about 946.9361118893. The cubic root of 896688 is about 96.4303595200.

It can be divided in two parts, 89668 and 8, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 896688 in words is "eight hundred ninety-six thousand, six hundred eighty-eight".