8213920 has 96 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 2749440.

The previous prime is 8213897. The next prime is 8213951. The reversal of 8213920 is 293128.

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, 22701 + ... + 23059.

It is an arithmetic number, because the mean of its divisors is an integer number (238140).

Almost surely, 2^8213920 is an apocalyptic number.

8213920 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 8213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

8213920 is an abundant number, since it is smaller than the sum of its proper divisors (14647520).

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

8213920 is a wasteful number, since it uses less digits than its factorization.

8213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 8213920 is about 2865.9937194628. The cubic root of 8213920 is about 201.7670090847.

The spelling of 8213920 in words is "eight million, two hundred thirteen thousand, nine hundred twenty".