578956 has 48 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 221760.

The previous prime is 578923. The next prime is 578957. The reversal of 578956 is 659875.

578956 = T₆₃ + T₆₄ + ... + T₁₅₄.

It is a happy number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18661 + ... + 18691.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2⁵⁷⁸⁹⁵⁶ 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 578956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

578956 is an abundant number, since it is smaller than the sum of its proper divisors (711284).

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

578956 is a wasteful number, since it uses less digits than its factorization.

578956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 578956 is about 760.8915822901. The cubic root of 578956 is about 83.3454417961.

It can be divided in two parts, 5 and 78956, that added together give a square (78961 = 281²).

The spelling of 578956 in words is "five hundred seventy-eight thousand, nine hundred fifty-six".