5762960 has 80 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 1920000.

The previous prime is 5762941. The next prime is 5762969. The reversal of 5762960 is 692675.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5762960.

It is not an unprimeable number, because it can be changed into a prime (5762969) 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, 22835 + ... + 23085.

Almost surely, 2^5762960 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 5762960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

5762960 is an abundant number, since it is smaller than the sum of its proper divisors (9986032).

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

5762960 is a wasteful number, since it uses less digits than its factorization.

5762960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 5762960 is about 2400.6165874625. The cubic root of 5762960 is about 179.2868905254.

The spelling of 5762960 in words is "five million, seven hundred sixty-two thousand, nine hundred sixty".