8461120 has 56 divisors (see below), whose sum is σ = 20400264. Its totient is φ = 3342336.

The previous prime is 8461097. The next prime is 8461147. The reversal of 8461120 is 211648.

It can be written as a sum of positive squares in 4 ways, for example, as 440896 + 8020224 = 664^2 + 2832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8461091 and 8461100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43744 + ... + 43936.

Almost surely, 2^8461120 is an apocalyptic number.

8461120 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 8461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200132).

8461120 is an abundant number, since it is smaller than the sum of its proper divisors (11939144).

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

8461120 is a wasteful number, since it uses less digits than its factorization.

8461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8461120 is about 2908.8004400440. The cubic root of 8461120 is about 203.7711132725.

Adding to 8461120 its reverse (211648), we get a palindrome (8672768).

The spelling of 8461120 in words is "eight million, four hundred sixty-one thousand, one hundred twenty".