678706128 has 200 divisors, whose sum is σ = 2058758856. Its totient is φ = 215654400.

The previous prime is 678706123. The next prime is 678706139. The reversal of 678706128 is 821607876.

It can be written as a sum of positive squares in 4 ways, for example, as 82955664 + 595750464 = 9108^2 + 24408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678706123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2816088 + ... + 2816328.

Almost surely, 2^678706128 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 678706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029379428).

678706128 is an abundant number, since it is smaller than the sum of its proper divisors (1380052728).

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

678706128 is a wasteful number, since it uses less digits than its factorization.

678706128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 678706128 is about 26051.9889451842. The cubic root of 678706128 is about 878.8078416049.

The spelling of 678706128 in words is "six hundred seventy-eight million, seven hundred six thousand, one hundred twenty-eight".