667906848 has 432 divisors, whose sum is σ = 2420046720. Its totient is φ = 173601792.

The previous prime is 667906793. The next prime is 667906879. The reversal of 667906848 is 848609766.

It is a junction number, because it is equal to n+sod(n) for n = 667906794 and 667906803.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12601990 + ... + 12602042.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^667906848 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 667906848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210023360).

667906848 is an abundant number, since it is smaller than the sum of its proper divisors (1752139872).

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

667906848 is a wasteful number, since it uses less digits than its factorization.

667906848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 667906848 is about 25843.8938242673. The cubic root of 667906848 is about 874.1218282732.

The spelling of 667906848 in words is "six hundred sixty-seven million, nine hundred six thousand, eight hundred forty-eight".