670559904 has 288 divisors, whose sum is σ = 2330415360. Its totient is φ = 186955776.

The previous prime is 670559887. The next prime is 670559921. The reversal of 670559904 is 409955076.

It is a happy number.

670559904 is a `hidden beast` number, since 6 + 7 + 0 + 559 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (670559887) and next prime (670559921).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 670559904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989624 + ... + 1989960.

It is an arithmetic number, because the mean of its divisors is an integer number (8091720).

Almost surely, 2^670559904 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 670559904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165207680).

670559904 is an abundant number, since it is smaller than the sum of its proper divisors (1659855456).

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

670559904 is a wasteful number, since it uses less digits than its factorization.

670559904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 670559904 is about 25895.1714417959. The cubic root of 670559904 is about 875.2776931943.

The spelling of 670559904 in words is "six hundred seventy million, five hundred fifty-nine thousand, nine hundred four".