688974 has 48 divisors (see below), whose sum is σ = 1653456. Its totient is φ = 190080.

The previous prime is 688969. The next prime is 688979. The reversal of 688974 is 479886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (688969) and next prime (688979).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9402 + ... + 9474.

It is an arithmetic number, because the mean of its divisors is an integer number (34447).

2⁶⁸⁸⁹⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826728).

688974 is an abundant number, since it is smaller than the sum of its proper divisors (964482).

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

688974 is a wasteful number, since it uses less digits than its factorization.

688974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 688974 is about 830.0445771162. The cubic root of 688974 is about 88.3217389157.

The spelling of 688974 in words is "six hundred eighty-eight thousand, nine hundred seventy-four".