57324000 has 192 divisors, whose sum is σ = 199547712. Its totient is φ = 14336000.

The previous prime is 57323999. The next prime is 57324049. The reversal of 57324000 is 42375.

It is a happy number.

57324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203860 + ... + 204140.

It is an arithmetic number, because the mean of its divisors is an integer number (1039311).

Almost surely, 2^57324000 is an apocalyptic number.

57324000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99773856).

57324000 is an abundant number, since it is smaller than the sum of its proper divisors (142223712).

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

57324000 is a wasteful number, since it uses less digits than its factorization.

57324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 57324000 is about 7571.2614536813. The cubic root of 57324000 is about 385.5779255397.

Adding to 57324000 its reverse (42375), we get a palindrome (57366375).

The spelling of 57324000 in words is "fifty-seven million, three hundred twenty-four thousand".