42064 has 20 divisors (see below), whose sum is σ = 89280. Its totient is φ = 19040.

The previous prime is 42061. The next prime is 42071. The reversal of 42064 is 46024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁴²⁰⁶⁴ is an apocalyptic number.

42064 is a gapful number since it is divisible by the number (44) 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 42064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

42064 is an abundant number, since it is smaller than the sum of its proper divisors (47216).

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

42064 is a wasteful number, since it uses less digits than its factorization.

42064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42064 is about 205.0950998927. The cubic root of 42064 is about 34.7779134967. Note that the first 3 decimals are identical.

Adding to 42064 its reverse (46024), we get a palindrome (88088).

It can be divided in two parts, 420 and 64, that added together give a palindrome (484).

The spelling of 42064 in words is "forty-two thousand, sixty-four", and thus it is an eban number.