57085952 has 104 divisors (see below), whose sum is σ = 143113152. Its totient is φ = 22118400.

The previous prime is 57085933. The next prime is 57085957. The reversal of 57085952 is 25958075.

It is not an unprimeable number, because it can be changed into a prime (57085957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315302 + ... + 315482.

It is an arithmetic number, because the mean of its divisors is an integer number (1376088).

Almost surely, 2^57085952 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 57085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71556576).

57085952 is an abundant number, since it is smaller than the sum of its proper divisors (86027200).

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

57085952 is a wasteful number, since it uses less digits than its factorization.

57085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 41.

The square root of 57085952 is about 7555.5246012438. The cubic root of 57085952 is about 385.0434582978.

The spelling of 57085952 in words is "fifty-seven million, eighty-five thousand, nine hundred fifty-two".