578916 has 36 divisors (see below), whose sum is σ = 1577212. Its totient is φ = 177984.

The previous prime is 578881. The next prime is 578917. The reversal of 578916 is 619875.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 324900 = 504^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-5 number, since 5×578916⁵ (a number of 30 digits) contains 55555 as substring.

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

Its product of digits (15120) is a multiple of the sum of its prime factors (1260).

It is not an unprimeable number, because it can be changed into a prime (578917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 1086.

2⁵⁷⁸⁹¹⁶ 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 578916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788606).

578916 is an abundant number, since it is smaller than the sum of its proper divisors (998296).

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

578916 is a wasteful number, since it uses less digits than its factorization.

578916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1255 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 578916 is about 760.8652968824. The cubic root of 578916 is about 83.3435223097.

The spelling of 578916 in words is "five hundred seventy-eight thousand, nine hundred sixteen".