678936960 has 192 divisors, whose sum is σ = 2525075280. Its totient is φ = 167104512.

The previous prime is 678936829. The next prime is 678936961. The reversal of 678936960 is 69639876.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 678936897 and 678936906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678936961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70347 + ... + 79413.

Almost surely, 2^678936960 is an apocalyptic number.

678936960 is a gapful number since it is divisible by the number (60) 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 678936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262537640).

678936960 is an abundant number, since it is smaller than the sum of its proper divisors (1846138320).

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

678936960 is a wasteful number, since it uses less digits than its factorization.

678936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 678936960 is about 26056.4187869323. The cubic root of 678936960 is about 878.9074595740.

The spelling of 678936960 in words is "six hundred seventy-eight million, nine hundred thirty-six thousand, nine hundred sixty".