667079840 has 192 divisors, whose sum is σ = 1879718400. Its totient is φ = 218972160.

The previous prime is 667079827. The next prime is 667079849. The reversal of 667079840 is 48970766.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (667079849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3352061 + ... + 3352259.

It is an arithmetic number, because the mean of its divisors is an integer number (9790200).

Almost surely, 2^667079840 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 667079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939859200).

667079840 is an abundant number, since it is smaller than the sum of its proper divisors (1212638560).

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

667079840 is a wasteful number, since it uses less digits than its factorization.

667079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The square root of 667079840 is about 25827.8888026103. Note that the first 4 decimals coincide. The cubic root of 667079840 is about 873.7608975427.

The spelling of 667079840 in words is "six hundred sixty-seven million, seventy-nine thousand, eight hundred forty".