7646336 has 64 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 3532800.

The previous prime is 7646329. The next prime is 7646351. The reversal of 7646336 is 6336467.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 7646296 and 7646305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162665 + ... + 162711.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^7646336 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 7646336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

7646336 is an abundant number, since it is smaller than the sum of its proper divisors (8804224).

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

7646336 is a wasteful number, since it uses less digits than its factorization.

7646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 54432, while the sum is 35.

The square root of 7646336 is about 2765.2008968608. The cubic root of 7646336 is about 197.0082709300.

The spelling of 7646336 in words is "seven million, six hundred forty-six thousand, three hundred thirty-six".