689792 has 32 divisors (see below), whose sum is σ = 1459620. Its totient is φ = 323584.

The previous prime is 689789. The next prime is 689797. The reversal of 689792 is 297986.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 10816 = 824^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (54432) is a multiple of the sum of its prime divisors (336).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 689792.

It is not an unprimeable number, because it can be changed into a prime (689797) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2018 + ... + 2334.

2⁶⁸⁹⁷⁹² 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 689792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729810).

689792 is an abundant number, since it is smaller than the sum of its proper divisors (769828).

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

689792 is a wasteful number, since it uses less digits than its factorization.

689792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its digits is 54432, while the sum is 41.

The square root of 689792 is about 830.5371755677. The cubic root of 689792 is about 88.3566790871.

It can be divided in two parts, 68 and 9792, that multiplied together give a square (665856 = 816²).

The spelling of 689792 in words is "six hundred eighty-nine thousand, seven hundred ninety-two".