8053506 has 48 divisors (see below), whose sum is σ = 18424224. Its totient is φ = 2636064.

The previous prime is 8053499. The next prime is 8053537. The reversal of 8053506 is 6053508.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8053506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35365 + ... + 35591.

It is an arithmetic number, because the mean of its divisors is an integer number (383838).

Almost surely, 2^8053506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8053506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212112).

8053506 is an abundant number, since it is smaller than the sum of its proper divisors (10370718).

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

8053506 is a wasteful number, since it uses less digits than its factorization.

8053506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 8053506 is about 2837.8699758798. The cubic root of 8053506 is about 200.4448929508. Note that the first 3 decimals are identical.

The spelling of 8053506 in words is "eight million, fifty-three thousand, five hundred six".