57418656 has 96 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 17817600.

The previous prime is 57418651. The next prime is 57418657. The reversal of 57418656 is 65681475.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (57418651) 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 15 ways as a sum of consecutive naturals, for example, 246316 + ... + 246548.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 2^57418656 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 57418656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

57418656 is an abundant number, since it is smaller than the sum of its proper divisors (103917792).

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

57418656 is a wasteful number, since it uses less digits than its factorization.

57418656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 57418656 is about 7577.5098812209. The cubic root of 57418656 is about 385.7900367780.

The spelling of 57418656 in words is "fifty-seven million, four hundred eighteen thousand, six hundred fifty-six".