667400960 has 72 divisors (see below), whose sum is σ = 1692726336. Its totient is φ = 251248640.

The previous prime is 667400947. The next prime is 667401001. The reversal of 667400960 is 69004766.

667400960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6425 + ... + 37095.

It is an arithmetic number, because the mean of its divisors is an integer number (23510088).

Almost surely, 2^667400960 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 667400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846363168).

667400960 is an abundant number, since it is smaller than the sum of its proper divisors (1025325376).

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

667400960 is a wasteful number, since it uses less digits than its factorization.

667400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30709 (or 30695 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 667400960 is about 25834.1045906375. The cubic root of 667400960 is about 873.9010792083.

The spelling of 667400960 in words is "six hundred sixty-seven million, four hundred thousand, nine hundred sixty".