42163560 has 96 divisors (see below), whose sum is σ = 138027240. Its totient is φ = 11162112.

The previous prime is 42163549. The next prime is 42163601. The reversal of 42163560 is 6536124.

42163560 is a `hidden beast` number, since 4 + 21 + 635 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41447844 + 715716 = 6438^2 + 846^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61942 + ... + 62618.

Almost surely, 2^42163560 is an apocalyptic number.

42163560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42163560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69013620).

42163560 is an abundant number, since it is smaller than the sum of its proper divisors (95863680).

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

42163560 is a wasteful number, since it uses less digits than its factorization.

42163560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42163560 is about 6493.3473648035. The cubic root of 42163560 is about 348.0533013878.

Adding to 42163560 its reverse (6536124), we get a palindrome (48699684).

It can be divided in two parts, 4216 and 3560, that added together give a 5-th power (7776 = 6⁵).

The spelling of 42163560 in words is "forty-two million, one hundred sixty-three thousand, five hundred sixty".