575856 has 80 divisors (see below), whose sum is σ = 1745920. Its totient is φ = 181440.

The previous prime is 575849. The next prime is 575857. The reversal of 575856 is 658575.

575856 = 121² + 122² + ... + 151².

575856 is a `hidden beast` number, since 575 + 85 + 6 = 666.

It is a super-2 number, since 2×575856² = 663220265472, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 5³ + 7⁴ + 8⁶ + 5⁶ + 5⁶ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 575856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575857) by changing a digit.

575856 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 15 ways as a sum of consecutive naturals, for example, 13371 + ... + 13413.

It is an arithmetic number, because the mean of its divisors is an integer number (21824).

2⁵⁷⁵⁸⁵⁶ 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 575856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872960).

575856 is an abundant number, since it is smaller than the sum of its proper divisors (1170064).

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

575856 is a wasteful number, since it uses less digits than its factorization.

575856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 79 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 575856 is about 758.8517641806. The cubic root of 575856 is about 83.1964187315.

It can be divided in two parts, 575 and 856, that added together give a triangular number (1431 = T₅₃).

The spelling of 575856 in words is "five hundred seventy-five thousand, eight hundred fifty-six".