57096 has 48 divisors (see below), whose sum is σ = 169260. Its totient is φ = 17280.

The previous prime is 57089. The next prime is 57097. The reversal of 57096 is 69075.

57096 is a `hidden beast` number, since 570 + 96 = 666.

57096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44100 + 12996 = 210^2 + 114^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (57097) by changing a digit.

57096 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 11 ways as a sum of consecutive naturals, for example, 906 + ... + 966.

2⁵⁷⁰⁹⁶ 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 57096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630).

57096 is an abundant number, since it is smaller than the sum of its proper divisors (112164).

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

57096 is a wasteful number, since it uses less digits than its factorization.

57096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57096 is about 238.9476930209. The cubic root of 57096 is about 38.5066048150.

It can be divided in two parts, 570 and 96, that added together give a palindrome (666).

The spelling of 57096 in words is "fifty-seven thousand, ninety-six".