5753960 has 64 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 2128896.

The previous prime is 5753953. The next prime is 5753971. The reversal of 5753960 is 693575.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5753960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50864 + ... + 50976.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 2^5753960 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 5753960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

5753960 is an abundant number, since it is smaller than the sum of its proper divisors (8199640).

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

5753960 is a wasteful number, since it uses less digits than its factorization.

5753960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 5753960 is about 2398.7413366180. The cubic root of 5753960 is about 179.1935112712.

The spelling of 5753960 in words is "five million, seven hundred fifty-three thousand, nine hundred sixty".