689248 has 48 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 276480.

The previous prime is 689237. The next prime is 689257. The reversal of 689248 is 842986.

It is a congruent number.

It is an unprimeable number.

689248 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 7 ways as a sum of consecutive naturals, for example, 3718 + ... + 3898.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁶⁸⁹²⁴⁸ is an apocalyptic number.

689248 is a gapful number since it is divisible by the number (68) 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 689248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

689248 is an abundant number, since it is smaller than the sum of its proper divisors (961856).

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

689248 is a wasteful number, since it uses less digits than its factorization.

689248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 689248 is about 830.2096120860. The cubic root of 689248 is about 88.3334456705. Note that the first 3 decimals are identical.

It can be divided in two parts, 68 and 9248, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 689248 in words is "six hundred eighty-nine thousand, two hundred forty-eight".