42162560 has 128 divisors (see below), whose sum is σ = 113024160. Its totient is φ = 14909440.

The previous prime is 42162559. The next prime is 42162563. The reversal of 42162560 is 6526124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42162563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373064 + ... + 373176.

Almost surely, 2^42162560 is an apocalyptic number.

42162560 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 42162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56512080).

42162560 is an abundant number, since it is smaller than the sum of its proper divisors (70861600).

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

42162560 is a wasteful number, since it uses less digits than its factorization.

42162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 42162560 is about 6493.2703624599. The cubic root of 42162560 is about 348.0505497538.

Adding to 42162560 its reverse (6526124), we get a palindrome (48688684).

It can be divided in two parts, 4216 and 2560, that added together give a palindrome (6776).

The spelling of 42162560 in words is "forty-two million, one hundred sixty-two thousand, five hundred sixty".