8233920 has 112 divisors (see below), whose sum is σ = 29077920. Its totient is φ = 2193408.

The previous prime is 8233913. The next prime is 8233937. The reversal of 8233920 is 293328.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8164 + ... + 9116.

Almost surely, 2^8233920 is an apocalyptic number.

8233920 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 8233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538960).

8233920 is an abundant number, since it is smaller than the sum of its proper divisors (20844000).

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

8233920 is a wasteful number, since it uses less digits than its factorization.

8233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 8233920 is about 2869.4807892718. The cubic root of 8233920 is about 201.9306365773.

Subtracting from 8233920 its product of nonzero digits (2592), we obtain a palindrome (8231328).

The spelling of 8233920 in words is "eight million, two hundred thirty-three thousand, nine hundred twenty".