8169920 has 84 divisors (see below), whose sum is σ = 21485352. Its totient is φ = 2956800.

The previous prime is 8169919. The next prime is 8169923. The reversal of 8169920 is 299618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8169923) 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 11 ways as a sum of consecutive naturals, for example, 38615 + ... + 38825.

It is an arithmetic number, because the mean of its divisors is an integer number (255778).

Almost surely, 2^8169920 is an apocalyptic number.

8169920 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 8169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10742676).

8169920 is an abundant number, since it is smaller than the sum of its proper divisors (13315432).

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

8169920 is a wasteful number, since it uses less digits than its factorization.

8169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 8169920 is about 2858.3071913285. The cubic root of 8169920 is about 201.4060913689.

The spelling of 8169920 in words is "eight million, one hundred sixty-nine thousand, nine hundred twenty".