8263760 has 40 divisors (see below), whose sum is σ = 19585800. Its totient is φ = 3241472.

The previous prime is 8263733. The next prime is 8263769. The reversal of 8263760 is 673628.

It can be written as a sum of positive squares in 4 ways, for example, as 2637376 + 5626384 = 1624^2 + 2372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8263769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3266 + ... + 5214.

It is an arithmetic number, because the mean of its divisors is an integer number (489645).

Almost surely, 2^8263760 is an apocalyptic number.

8263760 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 8263760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792900).

8263760 is an abundant number, since it is smaller than the sum of its proper divisors (11322040).

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

8263760 is a wasteful number, since it uses less digits than its factorization.

8263760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 8263760 is about 2874.6756338759. The cubic root of 8263760 is about 202.1742769418.

The spelling of 8263760 in words is "eight million, two hundred sixty-three thousand, seven hundred sixty".