8268120 has 192 divisors, whose sum is σ = 32685120. Its totient is φ = 1769472.

The previous prime is 8268079. The next prime is 8268149. The reversal of 8268120 is 218628.

8268120 = T₂₂₃ + T₂₂₄ + ... + T₃₉₂.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42744 + ... + 42936.

It is an arithmetic number, because the mean of its divisors is an integer number (170235).

Almost surely, 2^8268120 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 8268120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342560).

8268120 is an abundant number, since it is smaller than the sum of its proper divisors (24417000).

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

8268120 is a wasteful number, since it uses less digits than its factorization.

8268120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8268120 is about 2875.4338803040. The cubic root of 8268120 is about 202.2098267347.

The spelling of 8268120 in words is "eight million, two hundred sixty-eight thousand, one hundred twenty".