689616960 has 112 divisors (see below), whose sum is σ = 2201582592. Its totient is φ = 182886400.

The previous prime is 689616931. The next prime is 689617001. The reversal of 689616960 is 69616986.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181480 + ... + 185240.

Almost surely, 2^689616960 is an apocalyptic number.

689616960 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 689616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100791296).

689616960 is an abundant number, since it is smaller than the sum of its proper divisors (1511965632).

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

689616960 is a wasteful number, since it uses less digits than its factorization.

689616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 689616960 is about 26260.5590191831. The cubic root of 689616960 is about 883.4920472693.

The spelling of 689616960 in words is "six hundred eighty-nine million, six hundred sixteen thousand, nine hundred sixty".