5461120 has 128 divisors (see below), whose sum is σ = 15863040. Its totient is φ = 1757184.

The previous prime is 5461117. The next prime is 5461121. The reversal of 5461120 is 211645.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5461121) 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, 103014 + ... + 103066.

It is an arithmetic number, because the mean of its divisors is an integer number (123930).

Almost surely, 2^5461120 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 5461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931520).

5461120 is an abundant number, since it is smaller than the sum of its proper divisors (10401920).

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

5461120 is a wasteful number, since it uses less digits than its factorization.

5461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5461120 is about 2336.9039346965. The cubic root of 5461120 is about 176.1004935728.

Adding to 5461120 its reverse (211645), we get a palindrome (5672765).

The spelling of 5461120 in words is "five million, four hundred sixty-one thousand, one hundred twenty".