689582880 has 432 divisors, whose sum is σ = 2840193720. Its totient is φ = 151732224.

The previous prime is 689582843. The next prime is 689582921. The reversal of 689582880 is 88285986.

It can be written as a sum of positive squares in 4 ways, for example, as 488056464 + 201526416 = 22092^2 + 14196^2 .

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 71 ways as a sum of consecutive naturals, for example, 2046072 + ... + 2046408.

Almost surely, 2^689582880 is an apocalyptic number.

689582880 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 689582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420096860).

689582880 is an abundant number, since it is smaller than the sum of its proper divisors (2150610840).

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

689582880 is a wasteful number, since it uses less digits than its factorization.

689582880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 689582880 is about 26259.9101293207. The cubic root of 689582880 is about 883.4774933422.

The spelling of 689582880 in words is "six hundred eighty-nine million, five hundred eighty-two thousand, eight hundred eighty".