689316480 has 160 divisors (see below), whose sum is σ = 2461858740. Its totient is φ = 183803904.

The previous prime is 689316469. The next prime is 689316499. The reversal of 689316480 is 84613986.

It can be written as a sum of positive squares in 2 ways, for example, as 567964224 + 121352256 = 23832^2 + 11016^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45192 + ... + 58488.

Almost surely, 2^689316480 is an apocalyptic number.

689316480 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 689316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230929370).

689316480 is an abundant number, since it is smaller than the sum of its proper divisors (1772542260).

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

689316480 is a wasteful number, since it uses less digits than its factorization.

689316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13328 (or 13307 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 689316480 is about 26254.8372685873. The cubic root of 689316480 is about 883.3637102010.

The spelling of 689316480 in words is "six hundred eighty-nine million, three hundred sixteen thousand, four hundred eighty".