688968960 has 144 divisors (see below), whose sum is σ = 2238425280. Its totient is φ = 180551680.

The previous prime is 688968947. The next prime is 688968967. The reversal of 688968960 is 69869886.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 688968894 and 688968903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688968967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225040 + ... + 228080.

It is an arithmetic number, because the mean of its divisors is an integer number (15544620).

Almost surely, 2^688968960 is an apocalyptic number.

688968960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119212640).

688968960 is an abundant number, since it is smaller than the sum of its proper divisors (1549456320).

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

688968960 is a wasteful number, since it uses less digits than its factorization.

688968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The square root of 688968960 is about 26248.2182252434. The cubic root of 688968960 is about 883.2152355070.

The spelling of 688968960 in words is "six hundred eighty-eight million, nine hundred sixty-eight thousand, nine hundred sixty".