57198240 has 288 divisors, whose sum is σ = 223606656. Its totient is φ = 13178880.

The previous prime is 57198223. The next prime is 57198247. The reversal of 57198240 is 4289175.

57198240 is a `hidden beast` number, since 571 + 9 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 57198195 and 57198204.

It is not an unprimeable number, because it can be changed into a prime (57198247) 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 47 ways as a sum of consecutive naturals, for example, 364242 + ... + 364398.

It is an arithmetic number, because the mean of its divisors is an integer number (776412).

Almost surely, 2^57198240 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 57198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111803328).

57198240 is an abundant number, since it is smaller than the sum of its proper divisors (166408416).

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

57198240 is a wasteful number, since it uses less digits than its factorization.

57198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 57198240 is about 7562.9518046858. The cubic root of 57198240 is about 385.2957529578.

The spelling of 57198240 in words is "fifty-seven million, one hundred ninety-eight thousand, two hundred forty".