678535040 has 64 divisors (see below), whose sum is σ = 1678104000. Its totient is φ = 262047744.

The previous prime is 678535031. The next prime is 678535061. The reversal of 678535040 is 40535876.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 678534985 and 678535003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281 + ... + 36839.

It is an arithmetic number, because the mean of its divisors is an integer number (26220375).

Almost surely, 2^678535040 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 678535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839052000).

678535040 is an abundant number, since it is smaller than the sum of its proper divisors (999568960).

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

678535040 is a wasteful number, since it uses less digits than its factorization.

678535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36607 (or 36595 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 678535040 is about 26048.7051501605. The cubic root of 678535040 is about 878.7339922095.

The spelling of 678535040 in words is "six hundred seventy-eight million, five hundred thirty-five thousand, forty".