678879648 has 72 divisors (see below), whose sum is σ = 1938772836. Its totient is φ = 225331200.

The previous prime is 678879613. The next prime is 678879653. The reversal of 678879648 is 846978876.

It can be written as a sum of positive squares in 2 ways, for example, as 672468624 + 6411024 = 25932^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 64518 + ... + 74298.

Almost surely, 2^678879648 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 678879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969386418).

678879648 is an abundant number, since it is smaller than the sum of its proper divisors (1259893188).

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

678879648 is a wasteful number, since it uses less digits than its factorization.

678879648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10027 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 678879648 is about 26055.3189963201. The cubic root of 678879648 is about 878.8827280871.

It can be divided in two parts, 6788 and 79648, that added together give a square (86436 = 294²).

The spelling of 678879648 in words is "six hundred seventy-eight million, eight hundred seventy-nine thousand, six hundred forty-eight".