5460120 has 96 divisors (see below), whose sum is σ = 18392400. Its totient is φ = 1403136.

The previous prime is 5460109. The next prime is 5460139. The reversal of 5460120 is 210645.

It is a happy number.

5460120 is a `hidden beast` number, since 546 + 0 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5460093 and 5460102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10179 + ... + 10701.

Almost surely, 2^5460120 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 5460120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196200).

5460120 is an abundant number, since it is smaller than the sum of its proper divisors (12932280).

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

5460120 is a wasteful number, since it uses less digits than its factorization.

5460120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5460120 is about 2336.6899665981. The cubic root of 5460120 is about 176.0897441757.

Adding to 5460120 its reverse (210645), we get a palindrome (5670765).

The spelling of 5460120 in words is "five million, four hundred sixty thousand, one hundred twenty".