689313768 has 288 divisors, whose sum is σ = 2218759200. Its totient is φ = 176774400.

The previous prime is 689313767. The next prime is 689313769. The reversal of 689313768 is 867313986.

It is an interprime number because it is at equal distance from previous prime (689313767) and next prime (689313769).

It is a self number, because there is not a number n which added to its sum of digits gives 689313768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689313761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22235913 + ... + 22235943.

It is an arithmetic number, because the mean of its divisors is an integer number (7704025).

Almost surely, 2^689313768 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 689313768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109379600).

689313768 is an abundant number, since it is smaller than the sum of its proper divisors (1529445432).

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

689313768 is a wasteful number, since it uses less digits than its factorization.

689313768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 79 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 689313768 is about 26254.7856209111. The cubic root of 689313768 is about 883.3625517174.

The spelling of 689313768 in words is "six hundred eighty-nine million, three hundred thirteen thousand, seven hundred sixty-eight".