57573648 has 120 divisors (see below), whose sum is σ = 185122080. Its totient is φ = 16519680.

The previous prime is 57573643. The next prime is 57573653. The reversal of 57573648 is 84637575.

57573648 is a `hidden beast` number, since 575 + 7 + 36 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (57573643) and next prime (57573653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57573643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29140 + ... + 31052.

It is an arithmetic number, because the mean of its divisors is an integer number (1542684).

Almost surely, 2^57573648 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 57573648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92561040).

57573648 is an abundant number, since it is smaller than the sum of its proper divisors (127548432).

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

57573648 is a wasteful number, since it uses less digits than its factorization.

57573648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57573648 is about 7587.7300953579. The cubic root of 57573648 is about 386.1368500060.

The spelling of 57573648 in words is "fifty-seven million, five hundred seventy-three thousand, six hundred forty-eight".