5303760 has 240 divisors, whose sum is σ = 21373632. Its totient is φ = 1075200.

The previous prime is 5303747. The next prime is 5303761. The reversal of 5303760 is 673035.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5303760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5303761) 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 47 ways as a sum of consecutive naturals, for example, 129340 + ... + 129380.

Almost surely, 2^5303760 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 5303760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

5303760 is an abundant number, since it is smaller than the sum of its proper divisors (16069872).

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

5303760 is a wasteful number, since it uses less digits than its factorization.

5303760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 5303760 is about 2302.9893616776. The cubic root of 5303760 is about 174.3925606343.

Adding to 5303760 its reverse (673035), we get a palindrome (5976795).

The spelling of 5303760 in words is "five million, three hundred three thousand, seven hundred sixty".