8768120 has 64 divisors (see below), whose sum is σ = 21168000. Its totient is φ = 3259008.

The previous prime is 8768119. The next prime is 8768153. The reversal of 8768120 is 218678.

It is a congruent number.

It is an unprimeable number.

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, 63011 + ... + 63149.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 2^8768120 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 8768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584000).

8768120 is an abundant number, since it is smaller than the sum of its proper divisors (12399880).

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

8768120 is a wasteful number, since it uses less digits than its factorization.

8768120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 8768120 is about 2961.1011465332. The cubic root of 8768120 is about 206.2064101331.

It can be divided in two parts, 8768 and 120, that added together give a palindrome (8888).

The spelling of 8768120 in words is "eight million, seven hundred sixty-eight thousand, one hundred twenty".