689287680 has 120 divisors (see below), whose sum is σ = 2387276892. Its totient is φ = 183803904.

The previous prime is 689287609. The next prime is 689287691. The reversal of 689287680 is 86782986.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 19927296 = 25872^2 + 4464^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8082 + ... + 37998.

Almost surely, 2^689287680 is an apocalyptic number.

689287680 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 689287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193638446).

689287680 is an abundant number, since it is smaller than the sum of its proper divisors (1697989212).

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

689287680 is a wasteful number, since it uses less digits than its factorization.

689287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29946 (or 29927 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 689287680 is about 26254.2887925002. The cubic root of 689287680 is about 883.3514075650.

It can be divided in two parts, 689 and 287680, that added together give a square (288369 = 537²).

The spelling of 689287680 in words is "six hundred eighty-nine million, two hundred eighty-seven thousand, six hundred eighty".