680859648 has 192 divisors, whose sum is σ = 2306304000. Its totient is φ = 194420736.

The previous prime is 680859637. The next prime is 680859679. The reversal of 680859648 is 846958086.

It is a happy number.

680859648 is a `hidden beast` number, since 6 + 8 + 0 + 8 + 596 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 680859594 and 680859603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386193 + ... + 387951.

It is an arithmetic number, because the mean of its divisors is an integer number (12012000).

Almost surely, 2^680859648 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 680859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153152000).

680859648 is an abundant number, since it is smaller than the sum of its proper divisors (1625444352).

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

680859648 is a wasteful number, since it uses less digits than its factorization.

680859648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 680859648 is about 26093.2874126661. The cubic root of 680859648 is about 879.7363397444.

The spelling of 680859648 in words is "six hundred eighty million, eight hundred fifty-nine thousand, six hundred forty-eight".