5763520 has 112 divisors (see below), whose sum is σ = 16386048. Its totient is φ = 1889280.

The previous prime is 5763503. The next prime is 5763521. The reversal of 5763520 is 253675.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5763521) 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, 69399 + ... + 69481.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 2^5763520 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 5763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024).

5763520 is an abundant number, since it is smaller than the sum of its proper divisors (10622528).

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

5763520 is a wasteful number, since it uses less digits than its factorization.

5763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 5763520 is about 2400.7332213305. The cubic root of 5763520 is about 179.2926975763.

It can be divided in two parts, 576 and 3520, that added together give a 12-th power (4096 = 2¹²).

The spelling of 5763520 in words is "five million, seven hundred sixty-three thousand, five hundred twenty".