5485968 has 120 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1700352.

The previous prime is 5485939. The next prime is 5485969. The reversal of 5485968 is 8695845.

5485968 is a `hidden beast` number, since 54 + 8 + 596 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5485969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66055 + ... + 66137.

Almost surely, 2^5485968 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 5485968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5485968 is an abundant number, since it is smaller than the sum of its proper divisors (11575440).

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

5485968 is a wasteful number, since it uses less digits than its factorization.

5485968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5485968 is about 2342.2143369043. The cubic root of 5485968 is about 176.3671742335.

The spelling of 5485968 in words is "five million, four hundred eighty-five thousand, nine hundred sixty-eight".