5216960 has 112 divisors (see below), whose sum is σ = 15142464. Its totient is φ = 1671168.

The previous prime is 5216947. The next prime is 5216971. The reversal of 5216960 is 696125.

5216960 = T₃₀₇ + T₃₀₈ + ... + T₃₉₁.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38012 + ... + 38148.

Almost surely, 2^5216960 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 5216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7571232).

5216960 is an abundant number, since it is smaller than the sum of its proper divisors (9925504).

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

5216960 is a wasteful number, since it uses less digits than its factorization.

5216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 5216960 is about 2284.0665489429. The cubic root of 5216960 is about 173.4359681438.

The spelling of 5216960 in words is "five million, two hundred sixteen thousand, nine hundred sixty".