689752 has 32 divisors (see below), whose sum is σ = 1504800. Its totient is φ = 290304.

The previous prime is 689723. The next prime is 689761. The reversal of 689752 is 257986.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6048 + ... + 6160.

It is an arithmetic number, because the mean of its divisors is an integer number (47025).

2⁶⁸⁹⁷⁵² 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 689752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752400).

689752 is an abundant number, since it is smaller than the sum of its proper divisors (815048).

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

689752 is a wasteful number, since it uses less digits than its factorization.

689752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 689752 is about 830.5130944181. The cubic root of 689752 is about 88.3549711638.

It can be divided in two parts, 689 and 752, that added together give a palindrome (1441).

The spelling of 689752 in words is "six hundred eighty-nine thousand, seven hundred fifty-two".