689724 has 108 divisors (see below), whose sum is σ = 2240784. Its totient is φ = 177408.

The previous prime is 689723. The next prime is 689761. The reversal of 689724 is 427986.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

Its product of digits (24192) is a multiple of the sum of its prime factors (64).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29977 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2⁶⁸⁹⁷²⁴ 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 689724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120392).

689724 is an abundant number, since it is smaller than the sum of its proper divisors (1551060).

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

689724 is a wasteful number, since it uses less digits than its factorization.

689724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 689724 is about 830.4962371980. The cubic root of 689724 is about 88.3537755782.

The spelling of 689724 in words is "six hundred eighty-nine thousand, seven hundred twenty-four".