8263920 has 80 divisors (see below), whose sum is σ = 29283840. Its totient is φ = 1888512.

The previous prime is 8263909. The next prime is 8263951. The reversal of 8263920 is 293628.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 780 + ... + 4139.

It is an arithmetic number, because the mean of its divisors is an integer number (366048).

Almost surely, 2^8263920 is an apocalyptic number.

8263920 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 8263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641920).

8263920 is an abundant number, since it is smaller than the sum of its proper divisors (21019920).

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

8263920 is a wasteful number, since it uses less digits than its factorization.

8263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 8263920 is about 2874.7034629680. The cubic root of 8263920 is about 202.1755817423.

The spelling of 8263920 in words is "eight million, two hundred sixty-three thousand, nine hundred twenty".