5456160 has 120 divisors (see below), whose sum is σ = 19301436. Its totient is φ = 1451520.

The previous prime is 5456159. The next prime is 5456179. The reversal of 5456160 is 616545.

It is a happy number.

5456160 is a `hidden beast` number, since 5 + 45 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 944784 = 2124^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 12750 + ... + 13170.

Almost surely, 2^5456160 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 5456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650718).

5456160 is an abundant number, since it is smaller than the sum of its proper divisors (13845276).

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

5456160 is a wasteful number, since it uses less digits than its factorization.

5456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5456160 is about 2335.8424604412. The cubic root of 5456160 is about 176.0471636687.

The spelling of 5456160 in words is "five million, four hundred fifty-six thousand, one hundred sixty".