57666144 has 24 divisors (see below), whose sum is σ = 151373880. Its totient is φ = 19222016.

The previous prime is 57666127. The next prime is 57666149. The reversal of 57666144 is 44166675.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57666149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300249 + ... + 300440.

It is an arithmetic number, because the mean of its divisors is an integer number (6307245).

Almost surely, 2^57666144 is an apocalyptic number.

It is an amenable number.

57666144 is an abundant number, since it is smaller than the sum of its proper divisors (93707736).

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

57666144 is a wasteful number, since it uses less digits than its factorization.

57666144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600702 (or 600694 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 57666144 is about 7593.8227527379. The cubic root of 57666144 is about 386.3435244458.

It can be divided in two parts, 5766 and 6144, that multiplied together give a square (35426304 = 5952²).

The spelling of 57666144 in words is "fifty-seven million, six hundred sixty-six thousand, one hundred forty-four".