42066020 has 12 divisors (see below), whose sum is σ = 88338684. Its totient is φ = 16826400.

The previous prime is 42065983. The next prime is 42066023. The reversal of 42066020 is 2066024.

It can be written as a sum of positive squares in 2 ways, for example, as 4218916 + 37847104 = 2054^2 + 6152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 2103301 = 42066020 / (4 + 2 + 0 + 6 + 6 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 42065983 and 42066001.

It is not an unprimeable number, because it can be changed into a prime (42066023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1051631 + ... + 1051670.

It is an arithmetic number, because the mean of its divisors is an integer number (7361557).

Almost surely, 2^42066020 is an apocalyptic number.

It is an amenable number.

42066020 is an abundant number, since it is smaller than the sum of its proper divisors (46272664).

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

42066020 is a wasteful number, since it uses less digits than its factorization.

42066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103310 (or 2103308 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42066020 is about 6485.8322519165. The cubic root of 42066020 is about 347.7847019013.

The spelling of 42066020 in words is "forty-two million, sixty-six thousand, twenty".