57642048 has 168 divisors, whose sum is σ = 182270400. Its totient is φ = 17335296.

The previous prime is 57642047. The next prime is 57642061. The reversal of 57642048 is 84024675.

57642048 is a `hidden beast` number, since 5 + 7 + 642 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57642047) 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, 251598 + ... + 251826.

Almost surely, 2^57642048 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 57642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91135200).

57642048 is an abundant number, since it is smaller than the sum of its proper divisors (124628352).

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

57642048 is a wasteful number, since it uses less digits than its factorization.

57642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 57642048 is about 7592.2360342655. The cubic root of 57642048 is about 386.2897052845.

It can be divided in two parts, 576 and 42048, that added together give a palindrome (42624).

The spelling of 57642048 in words is "fifty-seven million, six hundred forty-two thousand, forty-eight".