42270560 has 72 divisors (see below), whose sum is σ = 102958128. Its totient is φ = 16396800.

The previous prime is 42270541. The next prime is 42270581. The reversal of 42270560 is 6507224.

42270560 = T₂₃ + T₂₄ + ... + T₆₃₂.

42270560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595325 + ... + 595395.

It is an arithmetic number, because the mean of its divisors is an integer number (1429974).

Almost surely, 2^42270560 is an apocalyptic number.

42270560 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 42270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51479064).

42270560 is an abundant number, since it is smaller than the sum of its proper divisors (60687568).

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

42270560 is an equidigital number, since it uses as much as digits as its factorization.

42270560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 42270560 is about 6501.5813461034. The cubic root of 42270560 is about 348.3474751908.

Adding to 42270560 its reverse (6507224), we get a palindrome (48777784).

The spelling of 42270560 in words is "forty-two million, two hundred seventy thousand, five hundred sixty".