578088 has 96 divisors (see below), whose sum is σ = 1896960. Its totient is φ = 155520.

The previous prime is 578077. The next prime is 578093. The reversal of 578088 is 880875.

578088 is a `hidden beast` number, since 578 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 578088.

It is an unprimeable number.

578088 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 23 ways as a sum of consecutive naturals, for example, 15606 + ... + 15642.

It is an arithmetic number, because the mean of its divisors is an integer number (19760).

2⁵⁷⁸⁰⁸⁸ 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 578088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948480).

578088 is an abundant number, since it is smaller than the sum of its proper divisors (1318872).

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

578088 is a wasteful number, since it uses less digits than its factorization.

578088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 578088 is about 760.3209848478. The cubic root of 578088 is about 83.3037690682.

The spelling of 578088 in words is "five hundred seventy-eight thousand, eighty-eight".