667340128 has 96 divisors (see below), whose sum is σ = 1633746240. Its totient is φ = 261273600.

The previous prime is 667340099. The next prime is 667340137. The reversal of 667340128 is 821043766.

667340128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×667340128³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292978 + ... + 295246.

It is an arithmetic number, because the mean of its divisors is an integer number (17018190).

Almost surely, 2^667340128 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 667340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816873120).

667340128 is an abundant number, since it is smaller than the sum of its proper divisors (966406112).

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

667340128 is a wasteful number, since it uses less digits than its factorization.

667340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 667340128 is about 25832.9272054098. The cubic root of 667340128 is about 873.8745270710.

The spelling of 667340128 in words is "six hundred sixty-seven million, three hundred forty thousand, one hundred twenty-eight".