578201664 has 112 divisors (see below), whose sum is σ = 1582928000. Its totient is φ = 186126336.

The previous prime is 578201629. The next prime is 578201707. The reversal of 578201664 is 466102875.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413492 + ... + 1413900.

Almost surely, 2^578201664 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 578201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791464000).

578201664 is an abundant number, since it is smaller than the sum of its proper divisors (1004726336).

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

578201664 is a wasteful number, since it uses less digits than its factorization.

578201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 578201664 is about 24045.8242528718. The cubic root of 578201664 is about 833.0922845569.

The spelling of 578201664 in words is "five hundred seventy-eight million, two hundred one thousand, six hundred sixty-four".