8383920 has 80 divisors (see below), whose sum is σ = 26269152. Its totient is φ = 2211840.

The previous prime is 8383897. The next prime is 8383939. The reversal of 8383920 is 293838.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8383920² = 140580229132800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 43344 + ... + 43536.

Almost surely, 2^8383920 is an apocalyptic number.

8383920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is a pronic number, being equal to 2895×2896.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13134576).

8383920 is an abundant number, since it is smaller than the sum of its proper divisors (17885232).

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

8383920 is a wasteful number, since it uses less digits than its factorization.

8383920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 8383920 is about 2895.4999568296. The cubic root of 8383920 is about 203.1494769715.

The spelling of 8383920 in words is "eight million, three hundred eighty-three thousand, nine hundred twenty".