8227920 has 40 divisors (see below), whose sum is σ = 25507296. Its totient is φ = 2194048.

The previous prime is 8227897. The next prime is 8227937. The reversal of 8227920 is 297228.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16902 + ... + 17381.

Almost surely, 2^8227920 is an apocalyptic number.

8227920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8227920 is an abundant number, since it is smaller than the sum of its proper divisors (17279376).

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

8227920 is a wasteful number, since it uses less digits than its factorization.

8227920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34299 (or 34293 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 8227920 is about 2868.4351134373. The cubic root of 8227920 is about 201.8815761771.

The spelling of 8227920 in words is "eight million, two hundred twenty-seven thousand, nine hundred twenty".