688324 has 48 divisors (see below), whose sum is σ = 1555456. Its totient is φ = 259200.

The previous prime is 688309. The next prime is 688333. The reversal of 688324 is 423886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11254 + ... + 11314.

2⁶⁸⁸³²⁴ 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 688324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777728).

688324 is an abundant number, since it is smaller than the sum of its proper divisors (867132).

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

688324 is a wasteful number, since it uses less digits than its factorization.

688324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 688324 is about 829.6529394873. The cubic root of 688324 is about 88.2939549966.

The spelling of 688324 in words is "six hundred eighty-eight thousand, three hundred twenty-four".