57327840 has 144 divisors (see below), whose sum is σ = 200609136. Its totient is φ = 14899200.

The previous prime is 57327839. The next prime is 57327847. The reversal of 57327840 is 4872375.

57327840 is a `hidden beast` number, since 573 + 2 + 7 + 84 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 57327795 and 57327804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57327847) 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, 58555 + ... + 59525.

It is an arithmetic number, because the mean of its divisors is an integer number (1393119).

Almost surely, 2^57327840 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 57327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100304568).

57327840 is an abundant number, since it is smaller than the sum of its proper divisors (143281296).

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

57327840 is a wasteful number, since it uses less digits than its factorization.

57327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57327840 is about 7571.5150399375. The cubic root of 57327840 is about 385.5865350004.

The spelling of 57327840 in words is "fifty-seven million, three hundred twenty-seven thousand, eight hundred forty".