42563160 has 96 divisors (see below), whose sum is σ = 139501440. Its totient is φ = 11254272.

The previous prime is 42563159. The next prime is 42563167. The reversal of 42563160 is 6136524.

42563160 is a `hidden beast` number, since 4 + 25 + 631 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42563167) 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, 48889 + ... + 49751.

It is an arithmetic number, because the mean of its divisors is an integer number (1453140).

Almost surely, 2^42563160 is an apocalyptic number.

42563160 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 42563160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69750720).

42563160 is an abundant number, since it is smaller than the sum of its proper divisors (96938280).

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

42563160 is a wasteful number, since it uses less digits than its factorization.

42563160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1010 counting only the distinct ones).

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

The square root of 42563160 is about 6524.0447576638. The cubic root of 42563160 is about 349.1493902084.

Adding to 42563160 its reverse (6136524), we get a palindrome (48699684).

The spelling of 42563160 in words is "forty-two million, five hundred sixty-three thousand, one hundred sixty".