578882016 has 72 divisors (see below), whose sum is σ = 1652493024. Its totient is φ = 192222720.

The previous prime is 578881997. The next prime is 578882023. The reversal of 578882016 is 610288875.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74340 + ... + 81756.

It is an arithmetic number, because the mean of its divisors is an integer number (22951292).

Almost surely, 2^578882016 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 578882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826246512).

578882016 is an abundant number, since it is smaller than the sum of its proper divisors (1073611008).

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

578882016 is a wasteful number, since it uses less digits than its factorization.

578882016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7704 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 578882016 is about 24059.9670822717. The cubic root of 578882016 is about 833.4189144463.

It can be divided in two parts, 5788820 and 16, that added together give a square (5788836 = 2406²).

The spelling of 578882016 in words is "five hundred seventy-eight million, eight hundred eighty-two thousand, sixteen".