689931648 has 384 divisors, whose sum is σ = 2487168000. Its totient is φ = 184384512.

The previous prime is 689931631. The next prime is 689931677. The reversal of 689931648 is 846139986.

It is a tau number, because it is divible by the number of its divisors (384).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 689931594 and 689931603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8733273 + ... + 8733351.

It is an arithmetic number, because the mean of its divisors is an integer number (6477000).

Almost surely, 2^689931648 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 689931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584000).

689931648 is an abundant number, since it is smaller than the sum of its proper divisors (1797236352).

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

689931648 is a wasteful number, since it uses less digits than its factorization.

689931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 689931648 is about 26266.5499828204. The cubic root of 689931648 is about 883.6264127130.

The spelling of 689931648 in words is "six hundred eighty-nine million, nine hundred thirty-one thousand, six hundred forty-eight".