5763120 has 160 divisors (see below), whose sum is σ = 20355840. Its totient is φ = 1336320.

The previous prime is 5763089. The next prime is 5763143. The reversal of 5763120 is 213675.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 97651 + ... + 97709.

It is an arithmetic number, because the mean of its divisors is an integer number (127224).

Almost surely, 2^5763120 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 5763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10177920).

5763120 is an abundant number, since it is smaller than the sum of its proper divisors (14592720).

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

5763120 is a wasteful number, since it uses less digits than its factorization.

5763120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 5763120 is about 2400.6499120030. The cubic root of 5763120 is about 179.2885497212.

Adding to 5763120 its reverse (213675), we get a palindrome (5976795).

The spelling of 5763120 in words is "five million, seven hundred sixty-three thousand, one hundred twenty".