8053938 has 64 divisors (see below), whose sum is σ = 19152000. Its totient is φ = 2503872.

The previous prime is 8053931. The next prime is 8053949. The reversal of 8053938 is 8393508.

It is not an unprimeable number, because it can be changed into a prime (8053931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57873 + ... + 58011.

It is an arithmetic number, because the mean of its divisors is an integer number (299250).

Almost surely, 2^8053938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8053938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576000).

8053938 is an abundant number, since it is smaller than the sum of its proper divisors (11098062).

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

8053938 is a wasteful number, since it uses less digits than its factorization.

8053938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8053938 is about 2837.9460882829. The cubic root of 8053938 is about 200.4484769239.

The spelling of 8053938 in words is "eight million, fifty-three thousand, nine hundred thirty-eight".