689464224 has 120 divisors (see below), whose sum is σ = 2035615428. Its totient is φ = 228925440.

The previous prime is 689464219. The next prime is 689464283. The reversal of 689464224 is 422464986.

It can be written as a sum of positive squares in 2 ways, for example, as 644144400 + 45319824 = 25380^2 + 6732^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 689464224.

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 19 ways as a sum of consecutive naturals, for example, 1194624 + ... + 1195200.

Almost surely, 2^689464224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689464224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017807714).

689464224 is an abundant number, since it is smaller than the sum of its proper divisors (1346151204).

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

689464224 is a wasteful number, since it uses less digits than its factorization.

689464224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1043 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 689464224 is about 26257.6507707754. The cubic root of 689464224 is about 883.4268173361.

The spelling of 689464224 in words is "six hundred eighty-nine million, four hundred sixty-four thousand, two hundred twenty-four".