57666048 has 80 divisors (see below), whose sum is σ = 167641056. Its totient is φ = 17469440.

The previous prime is 57666031. The next prime is 57666071. The reversal of 57666048 is 84066675.

It is a happy number.

57666048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15190 + ... + 18602.

Almost surely, 2^57666048 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 57666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83820528).

57666048 is an abundant number, since it is smaller than the sum of its proper divisors (109975008).

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

57666048 is a wasteful number, since it uses less digits than its factorization.

57666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 57666048 is about 7593.8164318082. The cubic root of 57666048 is about 386.3433100566.

The spelling of 57666048 in words is "fifty-seven million, six hundred sixty-six thousand, forty-eight".