57606642 has 48 divisors (see below), whose sum is σ = 133885440. Its totient is φ = 17836416.

The previous prime is 57606641. The next prime is 57606643. The reversal of 57606642 is 24660675.

57606642 is a `hidden beast` number, since 5 + 7 + 6 + 0 + 6 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (57606641) and next prime (57606643).

57606642 is a modest number, since divided by 6642 gives 576 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 57606597 and 57606606.

It is not an unprimeable number, because it can be changed into a prime (57606641) 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, 22983 + ... + 25365.

It is an arithmetic number, because the mean of its divisors is an integer number (2789280).

Almost surely, 2^57606642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57606642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66942720).

57606642 is an abundant number, since it is smaller than the sum of its proper divisors (76278798).

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

57606642 is a wasteful number, since it uses less digits than its factorization.

57606642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 57606642 is about 7589.9039519614. The cubic root of 57606642 is about 386.2105976710.

The spelling of 57606642 in words is "fifty-seven million, six hundred six thousand, six hundred forty-two".