678248352 has 144 divisors (see below), whose sum is σ = 1995477120. Its totient is φ = 218397696.

The previous prime is 678248327. The next prime is 678248353. The reversal of 678248352 is 253842876.

678248352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 678248298 and 678248307.

It is not an unprimeable number, because it can be changed into a prime (678248353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204423 + ... + 1204985.

It is an arithmetic number, because the mean of its divisors is an integer number (13857480).

Almost surely, 2^678248352 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 678248352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997738560).

678248352 is an abundant number, since it is smaller than the sum of its proper divisors (1317228768).

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

678248352 is a wasteful number, since it uses less digits than its factorization.

678248352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 678248352 is about 26043.2016464950. The cubic root of 678248352 is about 878.6102167402.

It can be divided in two parts, 67824 and 8352, that added together give a square (76176 = 276²).

The spelling of 678248352 in words is "six hundred seventy-eight million, two hundred forty-eight thousand, three hundred fifty-two".