57284560 has 80 divisors (see below), whose sum is σ = 143200656. Its totient is φ = 21233664.

The previous prime is 57284537. The next prime is 57284561. The reversal of 57284560 is 6548275.

It is a happy number.

57284560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11370384 + 45914176 = 3372^2 + 6776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57284561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98992 + ... + 99568.

Almost surely, 2^57284560 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 57284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71600328).

57284560 is an abundant number, since it is smaller than the sum of its proper divisors (85916096).

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

57284560 is a wasteful number, since it uses less digits than its factorization.

57284560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 57284560 is about 7568.6564197353. The cubic root of 57284560 is about 385.4894769415.

The spelling of 57284560 in words is "fifty-seven million, two hundred eighty-four thousand, five hundred sixty".