57661200 has 240 divisors, whose sum is σ = 216801600. Its totient is φ = 14515200.

The previous prime is 57661189. The next prime is 57661213. The reversal of 57661200 is 216675.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205060 + ... + 205340.

It is an arithmetic number, because the mean of its divisors is an integer number (903340).

Almost surely, 2^57661200 is an apocalyptic number.

57661200 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 57661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108400800).

57661200 is an abundant number, since it is smaller than the sum of its proper divisors (159140400).

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

57661200 is a wasteful number, since it uses less digits than its factorization.

57661200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57661200 is about 7593.4972180149. The cubic root of 57661200 is about 386.3324830916.

Adding to 57661200 its reverse (216675), we get a palindrome (57877875).

It can be divided in two parts, 576 and 61200, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 57661200 in words is "fifty-seven million, six hundred sixty-one thousand, two hundred".