57588648 has 64 divisors (see below), whose sum is σ = 156340800. Its totient is φ = 17571840.

The previous prime is 57588647. The next prime is 57588667. The reversal of 57588648 is 84688575.

It is a self number, because there is not a number n which added to its sum of digits gives 57588648.

It is not an unprimeable number, because it can be changed into a prime (57588647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40168 + ... + 41576.

It is an arithmetic number, because the mean of its divisors is an integer number (2442825).

Almost surely, 2^57588648 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 57588648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78170400).

57588648 is an abundant number, since it is smaller than the sum of its proper divisors (98752152).

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

57588648 is a wasteful number, since it uses less digits than its factorization.

57588648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1558 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The square root of 57588648 is about 7588.7184688852. The cubic root of 57588648 is about 386.1703812598.

The spelling of 57588648 in words is "fifty-seven million, five hundred eighty-eight thousand, six hundred forty-eight".