667985760 has 288 divisors, whose sum is σ = 2600488800. Its totient is φ = 154681344.

The previous prime is 667985741. The next prime is 667985771. The reversal of 667985760 is 67589766.

It is a happy number.

667985760 is a `hidden beast` number, since 6 + 67 + 9 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 667985697 and 667985706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317191 + ... + 319289.

It is an arithmetic number, because the mean of its divisors is an integer number (9029475).

Almost surely, 2^667985760 is an apocalyptic number.

667985760 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 667985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300244400).

667985760 is an abundant number, since it is smaller than the sum of its proper divisors (1932503040).

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

667985760 is a wasteful number, since it uses less digits than its factorization.

667985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 667985760 is about 25845.4204841012. The cubic root of 667985760 is about 874.1562522280.

The spelling of 667985760 in words is "six hundred sixty-seven million, nine hundred eighty-five thousand, seven hundred sixty".