57041568 has 144 divisors (see below), whose sum is σ = 171419976. Its totient is φ = 17971200.

The previous prime is 57041563. The next prime is 57041573. The reversal of 57041568 is 86514075.

57041568 is a `hidden beast` number, since 57 + 0 + 41 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (57041563) and next prime (57041573).

It can be written as a sum of positive squares in 4 ways, for example, as 53758224 + 3283344 = 7332^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (57041563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564718 + ... + 564818.

Almost surely, 2^57041568 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 57041568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85709988).

57041568 is an abundant number, since it is smaller than the sum of its proper divisors (114378408).

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

57041568 is a wasteful number, since it uses less digits than its factorization.

57041568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57041568 is about 7552.5868416060. The cubic root of 57041568 is about 384.9436427317.

The spelling of 57041568 in words is "fifty-seven million, forty-one thousand, five hundred sixty-eight".