57286656 has 224 divisors, whose sum is σ = 199217280. Its totient is φ = 15925248.

The previous prime is 57286639. The next prime is 57286657. The reversal of 57286656 is 65668275.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×57286656³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (57286657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548270 + ... + 1548306.

Almost surely, 2^57286656 is an apocalyptic number.

57286656 is a gapful number since it is divisible by the number (56) 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 57286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99608640).

57286656 is an abundant number, since it is smaller than the sum of its proper divisors (141930624).

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

57286656 is an equidigital number, since it uses as much as digits as its factorization.

57286656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 57286656 is about 7568.7948842600. The cubic root of 57286656 is about 385.4941784765.

The spelling of 57286656 in words is "fifty-seven million, two hundred eighty-six thousand, six hundred fifty-six".