670590080 has 128 divisors (see below), whose sum is σ = 1656255600. Its totient is φ = 259522560.

The previous prime is 670590029. The next prime is 670590083. The reversal of 670590080 is 80095076.

It can be written as a sum of positive squares in 8 ways, for example, as 8248384 + 662341696 = 2872^2 + 25736^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 670590080.

It is not an unprimeable number, because it can be changed into a prime (670590083) 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 15 ways as a sum of consecutive naturals, for example, 3474464 + ... + 3474656.

Almost surely, 2^670590080 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 670590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828127800).

670590080 is an abundant number, since it is smaller than the sum of its proper divisors (985665520).

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

670590080 is a wasteful number, since it uses less digits than its factorization.

670590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 670590080 is about 25895.7540921287. The cubic root of 670590080 is about 875.2908225127.

The spelling of 670590080 in words is "six hundred seventy million, five hundred ninety thousand, eighty".