689172 has 48 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 198880.

The previous prime is 689167. The next prime is 689201. The reversal of 689172 is 271986.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 689172.

It is an unprimeable number.

689172 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 15 ways as a sum of consecutive naturals, for example, 2923 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁶⁸⁹¹⁷² 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 689172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

689172 is an abundant number, since it is smaller than the sum of its proper divisors (1149420).

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

689172 is a wasteful number, since it uses less digits than its factorization.

689172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 689172 is about 830.1638392510. The cubic root of 689172 is about 88.3301988524.

It can be divided in two parts, 689 and 172, that added together give a triangular number (861 = T₄₁).

The spelling of 689172 in words is "six hundred eighty-nine thousand, one hundred seventy-two".