689405760 has 168 divisors, whose sum is σ = 2510933256. Its totient is φ = 173015040.

The previous prime is 689405753. The next prime is 689405767. The reversal of 689405760 is 67504986.

689405760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (689405753) and next prime (689405767).

It can be written as a sum of positive squares in 4 ways, for example, as 252428544 + 436977216 = 15888^2 + 20904^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689405767) 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, 41920 + ... + 56000.

Almost surely, 2^689405760 is an apocalyptic number.

689405760 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 689405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255466628).

689405760 is an abundant number, since it is smaller than the sum of its proper divisors (1821527496).

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

689405760 is a wasteful number, since it uses less digits than its factorization.

689405760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14121 (or 14108 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 689405760 is about 26256.5374716469. The cubic root of 689405760 is about 883.4018461949.

The spelling of 689405760 in words is "six hundred eighty-nine million, four hundred five thousand, seven hundred sixty".