575640 has 128 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 138240.

The previous prime is 575623. The next prime is 575647. The reversal of 575640 is 46575.

It is a super-2 number, since 2×575640² = 662722819200, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14020 + ... + 14060.

2⁵⁷⁵⁶⁴⁰ 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 575640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

575640 is an abundant number, since it is smaller than the sum of its proper divisors (1541160).

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

575640 is a wasteful number, since it uses less digits than its factorization.

575640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 575640 is about 758.7094305464. The cubic root of 575640 is about 83.1860152777.

The spelling of 575640 in words is "five hundred seventy-five thousand, six hundred forty".