8192880 has 80 divisors (see below), whose sum is σ = 28227360. Its totient is φ = 2184192.

The previous prime is 8192867. The next prime is 8192881. The reversal of 8192880 is 882918.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8192881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 264 + ... + 4056.

It is an arithmetic number, because the mean of its divisors is an integer number (352842).

Almost surely, 2^8192880 is an apocalyptic number.

8192880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8192880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113680).

8192880 is an abundant number, since it is smaller than the sum of its proper divisors (20034480).

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

8192880 is a wasteful number, since it uses less digits than its factorization.

8192880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8192880 is about 2862.3207367449. The cubic root of 8192880 is about 201.5945860224.

The spelling of 8192880 in words is "eight million, one hundred ninety-two thousand, eight hundred eighty".