688869376 has 104 divisors (see below), whose sum is σ = 1572868584. Its totient is φ = 298844160.

The previous prime is 688869341. The next prime is 688869397. The reversal of 688869376 is 673968886.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 688537600 = 576^2 + 26240^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 904836 + ... + 905596.

Almost surely, 2^688869376 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 688869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786434292).

688869376 is an abundant number, since it is smaller than the sum of its proper divisors (883999208).

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

688869376 is a wasteful number, since it uses less digits than its factorization.

688869376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 793 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 61.

The square root of 688869376 is about 26246.3211898353. The cubic root of 688869376 is about 883.1726799643.

The spelling of 688869376 in words is "six hundred eighty-eight million, eight hundred sixty-nine thousand, three hundred seventy-six".