577940 has 48 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 201600.

The previous prime is 577939. The next prime is 577957. The reversal of 577940 is 49775.

It is a junction number, because it is equal to n+sod(n) for n = 577897 and 577906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8105 + ... + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁵⁷⁷⁹⁴⁰ 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 577940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

577940 is an abundant number, since it is smaller than the sum of its proper divisors (801004).

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

577940 is a wasteful number, since it uses less digits than its factorization.

577940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 577940 is about 760.2236513027. The cubic root of 577940 is about 83.2966594182.

It can be divided in two parts, 57 and 7940, that added together give a palindrome (7997).

The spelling of 577940 in words is "five hundred seventy-seven thousand, nine hundred forty".