42002064 has 140 divisors (see below), whose sum is σ = 131872636. Its totient is φ = 12877056.

The previous prime is 42002033. The next prime is 42002113. The reversal of 42002064 is 46020024.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 35283600 = 2592^2 + 5940^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151494 + ... + 151770.

Almost surely, 2^42002064 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 42002064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65936318).

42002064 is an abundant number, since it is smaller than the sum of its proper divisors (89870572).

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

42002064 is a wasteful number, since it uses less digits than its factorization.

42002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42002064 is about 6480.8999375087. The cubic root of 42002064 is about 347.6083584581.

Adding to 42002064 its reverse (46020024), we get a palindrome (88022088).

The spelling of 42002064 in words is "forty-two million, two thousand, sixty-four", and thus it is an eban number.