578906120 has 96 divisors (see below), whose sum is σ = 1459571400. Its totient is φ = 206309376.

The previous prime is 578906093. The next prime is 578906143. The reversal of 578906120 is 21609875.

It can be written as a sum of positive squares in 12 ways, for example, as 7409284 + 571496836 = 2722^2 + 23906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194564 + ... + 197516.

Almost surely, 2^578906120 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 578906120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729785700).

578906120 is an abundant number, since it is smaller than the sum of its proper divisors (880665280).

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

578906120 is a wasteful number, since it uses less digits than its factorization.

578906120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 578906120 is about 24060.4679921235. The cubic root of 578906120 is about 833.4304818297.

The spelling of 578906120 in words is "five hundred seventy-eight million, nine hundred six thousand, one hundred twenty".