57825360 has 160 divisors (see below), whose sum is σ = 209808000. Its totient is φ = 14598144.

The previous prime is 57825349. The next prime is 57825367. The reversal of 57825360 is 6352875.

57825360 is a `hidden beast` number, since 578 + 25 + 3 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57825367) 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 31 ways as a sum of consecutive naturals, for example, 40336 + ... + 41744.

It is an arithmetic number, because the mean of its divisors is an integer number (1311300).

Almost surely, 2^57825360 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 57825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104904000).

57825360 is an abundant number, since it is smaller than the sum of its proper divisors (151982640).

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

57825360 is a wasteful number, since it uses less digits than its factorization.

57825360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 57825360 is about 7604.2987842404. The cubic root of 57825360 is about 386.6987620340.

It can be divided in two parts, 57825 and 360, that added together give a palindrome (58185).

The spelling of 57825360 in words is "fifty-seven million, eight hundred twenty-five thousand, three hundred sixty".