42536160 has 144 divisors (see below), whose sum is σ = 147026880. Its totient is φ = 11197440.

The previous prime is 42536141. The next prime is 42536173. The reversal of 42536160 is 6163524.

42536160 is a `hidden beast` number, since 42 + 5 + 3 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 156825 + ... + 157095.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020).

Almost surely, 2^42536160 is an apocalyptic number.

42536160 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 42536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

42536160 is an abundant number, since it is smaller than the sum of its proper divisors (104490720).

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

42536160 is a wasteful number, since it uses less digits than its factorization.

42536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

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

The square root of 42536160 is about 6521.9751609463. The cubic root of 42536160 is about 349.0755467908.

Adding to 42536160 its reverse (6163524), we get a palindrome (48699684).

It can be divided in two parts, 425 and 36160, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 42536160 in words is "forty-two million, five hundred thirty-six thousand, one hundred sixty".