42270084 has 36 divisors (see below), whose sum is σ = 107141580. Its totient is φ = 14051520.

The previous prime is 42270083. The next prime is 42270101. The reversal of 42270084 is 48007224.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 32832900 = 3072^2 + 5730^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (42270083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13762 + ... + 16550.

It is an arithmetic number, because the mean of its divisors is an integer number (2976155).

Almost surely, 2^42270084 is an apocalyptic number.

It is an amenable number.

42270084 is an abundant number, since it is smaller than the sum of its proper divisors (64871496).

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

42270084 is a wasteful number, since it uses less digits than its factorization.

42270084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42270084 is about 6501.5447395215. The cubic root of 42270084 is about 348.3461676297.

The spelling of 42270084 in words is "forty-two million, two hundred seventy thousand, eighty-four".