678144 has 36 divisors (see below), whose sum is σ = 1806896. Its totient is φ = 225792.

The previous prime is 678133. The next prime is 678157. The reversal of 678144 is 441876.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 678144.

It is an unprimeable number.

678144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327 + ... + 1209.

2⁶⁷⁸¹⁴⁴ is an apocalyptic number.

678144 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 678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903448).

678144 is an abundant number, since it is smaller than the sum of its proper divisors (1128752).

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

678144 is an equidigital number, since it uses as much as digits as its factorization.

678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 678144 is about 823.4949908773. The cubic root of 678144 is about 87.8565154861.

It can be divided in two parts, 6 and 78144, that multiplied together give a palindrome (468864).

The spelling of 678144 in words is "six hundred seventy-eight thousand, one hundred forty-four".