57642200 has 192 divisors, whose sum is σ = 176774400. Its totient is φ = 16934400.

The previous prime is 57642197. The next prime is 57642203. The reversal of 57642200 is 224675.

It is an interprime number because it is at equal distance from previous prime (57642197) and next prime (57642203).

It is a self number, because there is not a number n which added to its sum of digits gives 57642200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57642203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292502 + ... + 292698.

It is an arithmetic number, because the mean of its divisors is an integer number (920700).

Almost surely, 2^57642200 is an apocalyptic number.

57642200 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 57642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

57642200 is an abundant number, since it is smaller than the sum of its proper divisors (119132200).

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

57642200 is a wasteful number, since it uses less digits than its factorization.

57642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 57642200 is about 7592.2460444851. The cubic root of 57642200 is about 386.2900448282.

Adding to 57642200 its reverse (224675), we get a palindrome (57866875).

The spelling of 57642200 in words is "fifty-seven million, six hundred forty-two thousand, two hundred".