678048000 has 288 divisors, whose sum is σ = 2576421120. Its totient is φ = 154828800.

The previous prime is 678047987. The next prime is 678048029. The reversal of 678048000 is 840876.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671496 + ... + 672504.

Almost surely, 2^678048000 is an apocalyptic number.

678048000 is a gapful number since it is divisible by the number (60) 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 678048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288210560).

678048000 is an abundant number, since it is smaller than the sum of its proper divisors (1898373120).

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

678048000 is a wasteful number, since it uses less digits than its factorization.

678048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 678048000 is about 26039.3548307173. The cubic root of 678048000 is about 878.5236955078.

Adding to 678048000 its reverse (840876), we get a palindrome (678888876).

The spelling of 678048000 in words is "six hundred seventy-eight million, forty-eight thousand".