7686336 has 168 divisors, whose sum is σ = 25481280. Its totient is φ = 2032128.

The previous prime is 7686331. The next prime is 7686391. The reversal of 7686336 is 6336867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×7686336² = 118159522209792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

7686336 is a modest number, since divided by 6336 gives 768 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 7686294 and 7686303.

It is not an unprimeable number, because it can be changed into a prime (7686331) 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, 178731 + ... + 178773.

Almost surely, 2^7686336 is an apocalyptic number.

7686336 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740640).

7686336 is an abundant number, since it is smaller than the sum of its proper divisors (17794944).

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

7686336 is a wasteful number, since it uses less digits than its factorization.

7686336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 7686336 is about 2772.4242099650. The cubic root of 7686336 is about 197.3512076983.

The spelling of 7686336 in words is "seven million, six hundred eighty-six thousand, three hundred thirty-six".