678042144 has 384 divisors, whose sum is σ = 2331866880. Its totient is φ = 189775872.

The previous prime is 678042121. The next prime is 678042179. The reversal of 678042144 is 441240876.

It is a super-2 number, since 2×678042144² = 919482298080233472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 678042099 and 678042108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10119999 + ... + 10120065.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2^678042144 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 678042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165933440).

678042144 is an abundant number, since it is smaller than the sum of its proper divisors (1653824736).

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

678042144 is a wasteful number, since it uses less digits than its factorization.

678042144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 678042144 is about 26039.2423852922. The cubic root of 678042144 is about 878.5211663606.

It can be divided in two parts, 6 and 78042144, that multiplied together give a palindrome (468252864).

The spelling of 678042144 in words is "six hundred seventy-eight million, forty-two thousand, one hundred forty-four".