42027536 has 60 divisors (see below), whose sum is σ = 88508100. Its totient is φ = 19322880.

The previous prime is 42027533. The next prime is 42027539. The reversal of 42027536 is 63572024.

It is an interprime number because it is at equal distance from previous prime (42027533) and next prime (42027539).

It can be written as a sum of positive squares in 6 ways, for example, as 2085136 + 39942400 = 1444^2 + 6320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42027499 and 42027508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42027533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281990 + ... + 282138.

It is an arithmetic number, because the mean of its divisors is an integer number (1475135).

Almost surely, 2^42027536 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 42027536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44254050).

42027536 is an abundant number, since it is smaller than the sum of its proper divisors (46480564).

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

42027536 is a wasteful number, since it uses less digits than its factorization.

42027536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 42027536 is about 6482.8647988370. The cubic root of 42027536 is about 347.6786128693.

The spelling of 42027536 in words is "forty-two million, twenty-seven thousand, five hundred thirty-six".