578952 has 96 divisors (see below), whose sum is σ = 1853280. Its totient is φ = 161280.

The previous prime is 578923. The next prime is 578957. The reversal of 578952 is 259875.

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

It is not an unprimeable number, because it can be changed into a prime (578957) by changing a digit.

578952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13443 + ... + 13485.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2⁵⁷⁸⁹⁵² 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 578952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926640).

578952 is an abundant number, since it is smaller than the sum of its proper divisors (1274328).

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

578952 is a wasteful number, since it uses less digits than its factorization.

578952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 76 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 578952 is about 760.8889537902. Note that the first 3 decimals coincide. The cubic root of 578952 is about 83.3452498514.

It can be divided in two parts, 57 and 8952, that added together give a palindrome (9009).

The spelling of 578952 in words is "five hundred seventy-eight thousand, nine hundred fifty-two".