678048 has 48 divisors (see below), whose sum is σ = 2036160. Its totient is φ = 193536.

The previous prime is 678047. The next prime is 678061. The reversal of 678048 is 840876.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (678047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (42420).

2⁶⁷⁸⁰⁴⁸ 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 678048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018080).

678048 is an abundant number, since it is smaller than the sum of its proper divisors (1358112).

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

678048 is a wasteful number, since it uses less digits than its factorization.

678048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1021 counting only the distinct ones).

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

The square root of 678048 is about 823.4367006637. The cubic root of 678048 is about 87.8523695508.

The spelling of 678048 in words is "six hundred seventy-eight thousand, forty-eight".