678496000 has 288 divisors, whose sum is σ = 2089196928. Its totient is φ = 213811200.

The previous prime is 678495991. The next prime is 678496073. The reversal of 678496000 is 694876.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 2911884 + ... + 2912116.

It is an arithmetic number, because the mean of its divisors is an integer number (7254156).

Almost surely, 2^678496000 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 678496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044598464).

678496000 is an abundant number, since it is smaller than the sum of its proper divisors (1410700928).

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

678496000 is a wasteful number, since it uses less digits than its factorization.

678496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 678496000 is about 26047.9557739182. The cubic root of 678496000 is about 878.7171390229.

678496000 divided by its sum of digits (40) gives a triangular number (16962400 = T₅₈₂₄).

The spelling of 678496000 in words is "six hundred seventy-eight million, four hundred ninety-six thousand".