578340 has 144 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 124416.

The previous prime is 578327. The next prime is 578353. The reversal of 578340 is 43875.

It is an interprime number because it is at equal distance from previous prime (578327) and next prime (578353).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

578340 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 47 ways as a sum of consecutive naturals, for example, 34012 + ... + 34028.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2⁵⁷⁸³⁴⁰ 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 578340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

578340 is an abundant number, since it is smaller than the sum of its proper divisors (1623132).

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

578340 is a wasteful number, since it uses less digits than its factorization.

578340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 578340 is about 760.4866862740. The cubic root of 578340 is about 83.3158718970.

The spelling of 578340 in words is "five hundred seventy-eight thousand, three hundred forty".