8038920 has 64 divisors (see below), whose sum is σ = 24906240. Its totient is φ = 2073600.

The previous prime is 8038913. The next prime is 8038931. The reversal of 8038920 is 298308.

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

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, 2640 + ... + 4800.

It is an arithmetic number, because the mean of its divisors is an integer number (389160).

Almost surely, 2^8038920 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 8038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453120).

8038920 is an abundant number, since it is smaller than the sum of its proper divisors (16867320).

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

8038920 is a wasteful number, since it uses less digits than its factorization.

8038920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 8038920 is about 2835.2989260394. The cubic root of 8038920 is about 200.3238087897.

The spelling of 8038920 in words is "eight million, thirty-eight thousand, nine hundred twenty".