578832672 has 96 divisors (see below), whose sum is σ = 1670082624. Its totient is φ = 174080000.

The previous prime is 578832649. The next prime is 578832691. The reversal of 578832672 is 276238875.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142672 + ... + 146672.

It is an arithmetic number, because the mean of its divisors is an integer number (17396694).

Almost surely, 2^578832672 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 578832672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835041312).

578832672 is an abundant number, since it is smaller than the sum of its proper divisors (1091249952).

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

578832672 is a wasteful number, since it uses less digits than its factorization.

578832672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4154 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 578832672 is about 24058.9416226068. The cubic root of 578832672 is about 833.3952335175.

The spelling of 578832672 in words is "five hundred seventy-eight million, eight hundred thirty-two thousand, six hundred seventy-two".