678345984 has 216 divisors, whose sum is σ = 2062412352. Its totient is φ = 214179840.

The previous prime is 678345979. The next prime is 678345991. The reversal of 678345984 is 489543876.

Its product of digits (5806080) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 678345984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4061869 + ... + 4062035.

Almost surely, 2^678345984 is an apocalyptic number.

678345984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031206176).

678345984 is an abundant number, since it is smaller than the sum of its proper divisors (1384066368).

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

678345984 is a wasteful number, since it uses less digits than its factorization.

678345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 678345984 is about 26045.0760029607. The cubic root of 678345984 is about 878.6523725655.

The spelling of 678345984 in words is "six hundred seventy-eight million, three hundred forty-five thousand, nine hundred eighty-four".