689810688 has 288 divisors, whose sum is σ = 2384121600. Its totient is φ = 192651264.

The previous prime is 689810677. The next prime is 689810707. The reversal of 689810688 is 886018986.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564218 + ... + 2564486.

It is an arithmetic number, because the mean of its divisors is an integer number (8278200).

Almost surely, 2^689810688 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 689810688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192060800).

689810688 is an abundant number, since it is smaller than the sum of its proper divisors (1694310912).

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

689810688 is a wasteful number, since it uses less digits than its factorization.

689810688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 689810688 is about 26264.2473335902. The cubic root of 689810688 is about 883.5747700621.

The spelling of 689810688 in words is "six hundred eighty-nine million, eight hundred ten thousand, six hundred eighty-eight".