688352 has 36 divisors (see below), whose sum is σ = 1580040. Its totient is φ = 294336.

The previous prime is 688339. The next prime is 688357. The reversal of 688352 is 253886.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1349 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (43890).

2⁶⁸⁸³⁵² 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 688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790020).

688352 is an abundant number, since it is smaller than the sum of its proper divisors (891688).

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

688352 is a wasteful number, since it uses less digits than its factorization.

688352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 688352 is about 829.6698138416. The cubic root of 688352 is about 88.2951522028.

The spelling of 688352 in words is "six hundred eighty-eight thousand, three hundred fifty-two".