8390920 has 32 divisors (see below), whose sum is σ = 19099800. Its totient is φ = 3317248.

The previous prime is 8390909. The next prime is 8390927. The reversal of 8390920 is 290938.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4056196 + 4334724 = 2014^2 + 2082^2 .

It is not an unprimeable number, because it can be changed into a prime (8390927) 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, 2382 + ... + 4738.

Almost surely, 2^8390920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8390920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549900).

8390920 is an abundant number, since it is smaller than the sum of its proper divisors (10708880).

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

8390920 is a wasteful number, since it uses less digits than its factorization.

8390920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 8390920 is about 2896.7084768751. The cubic root of 8390920 is about 203.2059998848.

The spelling of 8390920 in words is "eight million, three hundred ninety thousand, nine hundred twenty".