8182920 has 128 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 1990656.

The previous prime is 8182913. The next prime is 8182921. The reversal of 8182920 is 292818.

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

It is not an unprimeable number, because it can be changed into a prime (8182921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84312 + ... + 84408.

It is an arithmetic number, because the mean of its divisors is an integer number (209475).

Almost surely, 2^8182920 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 8182920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

8182920 is an abundant number, since it is smaller than the sum of its proper divisors (18629880).

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

8182920 is a wasteful number, since it uses less digits than its factorization.

8182920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8182920 is about 2860.5803606961. The cubic root of 8182920 is about 201.5128607406.

The spelling of 8182920 in words is "eight million, one hundred eighty-two thousand, nine hundred twenty".