8263680 has 96 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 2195456.

The previous prime is 8263679. The next prime is 8263709. The reversal of 8263680 is 863628.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

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, 30586 + ... + 30854.

Almost surely, 2^8263680 is an apocalyptic number.

8263680 is a gapful number since it is divisible by the number (80) 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 8263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800).

8263680 is an abundant number, since it is smaller than the sum of its proper divisors (18271920).

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

8263680 is a wasteful number, since it uses less digits than its factorization.

8263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8263680 is about 2874.6617192289. The cubic root of 8263680 is about 202.1736245352.

The spelling of 8263680 in words is "eight million, two hundred sixty-three thousand, six hundred eighty".