8102920 has 64 divisors (see below), whose sum is σ = 21352320. Its totient is φ = 2709504.

The previous prime is 8102903. The next prime is 8102921. The reversal of 8102920 is 292018.

8102920 = T₂₁ + T₂₂ + ... + T₃₆₄.

It is a junction number, because it is equal to n+sod(n) for n = 8102891 and 8102900.

It is not an unprimeable number, because it can be changed into a prime (8102921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11704 + ... + 12376.

It is an arithmetic number, because the mean of its divisors is an integer number (333630).

Almost surely, 2^8102920 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 8102920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10676160).

8102920 is an abundant number, since it is smaller than the sum of its proper divisors (13249400).

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

8102920 is a wasteful number, since it uses less digits than its factorization.

8102920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 8102920 is about 2846.5628396366. The cubic root of 8102920 is about 200.8540147700.

Adding to 8102920 its reverse (292018), we get a palindrome (8394938).

The spelling of 8102920 in words is "eight million, one hundred two thousand, nine hundred twenty".