688716 has 48 divisors (see below), whose sum is σ = 2042880. Its totient is φ = 196560.

The previous prime is 688697. The next prime is 688717. The reversal of 688716 is 617886.

688716 = T₁₂₈ + T₁₂₉ + ... + T₁₈₃.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688716.

It is not an unprimeable number, because it can be changed into a prime (688717) by changing a digit.

688716 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (42560).

2⁶⁸⁸⁷¹⁶ 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 688716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021440).

688716 is an abundant number, since it is smaller than the sum of its proper divisors (1354164).

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

688716 is a wasteful number, since it uses less digits than its factorization.

688716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 923 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 688716 is about 829.8891492242. The cubic root of 688716 is about 88.3107129294.

It can be divided in two parts, 6887 and 16, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 688716 in words is "six hundred eighty-eight thousand, seven hundred sixteen".