5304960 has 128 divisors (see below), whose sum is σ = 18849600. Its totient is φ = 1410048.

The previous prime is 5304913. The next prime is 5304967. The reversal of 5304960 is 694035.

It is a happy number.

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

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

It is not an unprimeable number, because it can be changed into a prime (5304967) 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, 17127 + ... + 17433.

Almost surely, 2^5304960 is an apocalyptic number.

5304960 is the 1152-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424800).

5304960 is an abundant number, since it is smaller than the sum of its proper divisors (13544640).

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

5304960 is a wasteful number, since it uses less digits than its factorization.

5304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5304960 is about 2303.2498778899. The cubic root of 5304960 is about 174.4057120145.

Adding to 5304960 its reverse (694035), we get a palindrome (5998995).

The spelling of 5304960 in words is "five million, three hundred four thousand, nine hundred sixty".