8100920 has 64 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 3047040.

The previous prime is 8100919. The next prime is 8100931. The reversal of 8100920 is 290018.

8100920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8100892 and 8100901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58211 + ... + 58349.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^8100920 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 8100920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

8100920 is an abundant number, since it is smaller than the sum of its proper divisors (11252680).

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

8100920 is a wasteful number, since it uses less digits than its factorization.

8100920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8100920 is about 2846.2115170872. The cubic root of 8100920 is about 200.8374881728.

Adding to 8100920 its reverse (290018), we get a palindrome (8390938).

The spelling of 8100920 in words is "eight million, one hundred thousand, nine hundred twenty".