42270336 has 128 divisors (see below), whose sum is σ = 127132800. Its totient is φ = 13996800.

The previous prime is 42270331. The next prime is 42270341. The reversal of 42270336 is 63307224.

It is an interprime number because it is at equal distance from previous prime (42270331) and next prime (42270341).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (42270331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279861 + ... + 280011.

It is an arithmetic number, because the mean of its divisors is an integer number (993225).

Almost surely, 2^42270336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42270336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63566400).

42270336 is an abundant number, since it is smaller than the sum of its proper divisors (84862464).

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

42270336 is an frugal number, since it uses more digits than its factorization.

42270336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 42270336 is about 6501.5641195023. The cubic root of 42270336 is about 348.3468598692.

The spelling of 42270336 in words is "forty-two million, two hundred seventy thousand, three hundred thirty-six".