6461120 has 56 divisors (see below), whose sum is σ = 15685008. Its totient is φ = 2534400.

The previous prime is 6461107. The next prime is 6461123. The reversal of 6461120 is 211646.

It is a happy number.

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 = 6461092 and 6461101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6461123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19355 + ... + 19685.

Almost surely, 2^6461120 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 6461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842504).

6461120 is an abundant number, since it is smaller than the sum of its proper divisors (9223888).

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

6461120 is a wasteful number, since it uses less digits than its factorization.

6461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6461120 is about 2541.8733249318. The cubic root of 6461120 is about 186.2527107994.

Adding to 6461120 its reverse (211646), we get a palindrome (6672766).

The spelling of 6461120 in words is "six million, four hundred sixty-one thousand, one hundred twenty".