57003648 has 128 divisors (see below), whose sum is σ = 171931200. Its totient is φ = 16588800.

The previous prime is 57003631. The next prime is 57003649. The reversal of 57003648 is 84630075.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (57003649) 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, 94548 + ... + 95148.

Almost surely, 2^57003648 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 57003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85965600).

57003648 is an abundant number, since it is smaller than the sum of its proper divisors (114927552).

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

57003648 is a wasteful number, since it uses less digits than its factorization.

57003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57003648 is about 7550.0760261073. The cubic root of 57003648 is about 384.8583230883.

It can be divided in two parts, 5700 and 3648, that multiplied together give a square (20793600 = 4560²).

The spelling of 57003648 in words is "fifty-seven million, three thousand, six hundred forty-eight".