688152 has 32 divisors (see below), whose sum is σ = 1756080. Its totient is φ = 224640.

The previous prime is 688147. The next prime is 688159. The reversal of 688152 is 251886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688159) by changing a digit.

688152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 1542.

2⁶⁸⁸¹⁵² 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 688152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878040).

688152 is an abundant number, since it is smaller than the sum of its proper divisors (1067928).

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

688152 is a wasteful number, since it uses less digits than its factorization.

688152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 599 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 688152 is about 829.5492752091. The cubic root of 688152 is about 88.2866000177.

The spelling of 688152 in words is "six hundred eighty-eight thousand, one hundred fifty-two".