689561600 has 336 divisors, whose sum is σ = 2161507488. Its totient is φ = 212336640.

The previous prime is 689561591. The next prime is 689561617. The reversal of 689561600 is 6165986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18636782 + ... + 18636818.

It is an arithmetic number, because the mean of its divisors is an integer number (6433058).

Almost surely, 2^689561600 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 689561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080753744).

689561600 is an abundant number, since it is smaller than the sum of its proper divisors (1471945888).

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

689561600 is a wasteful number, since it uses less digits than its factorization.

689561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 689561600 is about 26259.5049458287. The cubic root of 689561600 is about 883.4684054356.

The spelling of 689561600 in words is "six hundred eighty-nine million, five hundred sixty-one thousand, six hundred".