7356006 has 48 divisors (see below), whose sum is σ = 18470400. Its totient is φ = 2072304.

The previous prime is 7356001. The next prime is 7356023. The reversal of 7356006 is 6006537.

7356006 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7356006² = 108221648544072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7356001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9585 + ... + 10323.

It is an arithmetic number, because the mean of its divisors is an integer number (384800).

Almost surely, 2^7356006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7356006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9235200).

7356006 is an abundant number, since it is smaller than the sum of its proper divisors (11114394).

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

7356006 is a wasteful number, since it uses less digits than its factorization.

7356006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 7356006 is about 2712.1957893928. The cubic root of 7356006 is about 194.4825730097.

The spelling of 7356006 in words is "seven million, three hundred fifty-six thousand, six".