7864336 has 40 divisors (see below), whose sum is σ = 16706520. Its totient is φ = 3569664.

The previous prime is 7864331. The next prime is 7864361. The reversal of 7864336 is 6334687.

It is a happy number.

7864336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3686400 + 4177936 = 1920^2 + 2044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7864295 and 7864304.

It is not an unprimeable number, because it can be changed into a prime (7864331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7390 + ... + 8386.

It is an arithmetic number, because the mean of its divisors is an integer number (417663).

Almost surely, 2^7864336 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 7864336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353260).

7864336 is an abundant number, since it is smaller than the sum of its proper divisors (8842184).

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

7864336 is a wasteful number, since it uses less digits than its factorization.

7864336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1045 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 7864336 is about 2804.3423471467. The cubic root of 7864336 is about 198.8630152435.

The spelling of 7864336 in words is "seven million, eight hundred sixty-four thousand, three hundred thirty-six".