689928 has 64 divisors (see below), whose sum is σ = 1944000. Its totient is φ = 202752.

The previous prime is 689921. The next prime is 689929. The reversal of 689928 is 829986.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 689928.

It is not an unprimeable number, because it can be changed into a prime (689921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7708 + ... + 7796.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2⁶⁸⁹⁹²⁸ is an apocalyptic number.

689928 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 689928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972000).

689928 is an abundant number, since it is smaller than the sum of its proper divisors (1254072).

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

689928 is a wasteful number, since it uses less digits than its factorization.

689928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 689928 is about 830.6190462541. The cubic root of 689928 is about 88.3624855325.

The spelling of 689928 in words is "six hundred eighty-nine thousand, nine hundred twenty-eight".