8333920 has 72 divisors (see below), whose sum is σ = 22924944. Its totient is φ = 2854656.

The previous prime is 8333911. The next prime is 8333957. The reversal of 8333920 is 293338.

It is a happy number.

8333920 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

8333920 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7309 + ... + 8371.

It is an arithmetic number, because the mean of its divisors is an integer number (318402).

Almost surely, 2^8333920 is an apocalyptic number.

8333920 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 8333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462472).

8333920 is an abundant number, since it is smaller than the sum of its proper divisors (14591024).

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

8333920 is a wasteful number, since it uses less digits than its factorization.

8333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 8333920 is about 2886.8529578072. The cubic root of 8333920 is about 202.7448240410.

It can be divided in two parts, 833 and 3920, that added together give a triangular number (4753 = T₉₇).

The spelling of 8333920 in words is "eight million, three hundred thirty-three thousand, nine hundred twenty".