5753600 has 108 divisors (see below), whose sum is σ = 15207360. Its totient is φ = 2150400.

The previous prime is 5753591. The next prime is 5753603. The reversal of 5753600 is 63575.

It is a self number, because there is not a number n which added to its sum of digits gives 5753600.

It is not an unprimeable number, because it can be changed into a prime (5753603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185585 + ... + 185615.

Almost surely, 2^5753600 is an apocalyptic number.

5753600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603680).

5753600 is an abundant number, since it is smaller than the sum of its proper divisors (9453760).

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

5753600 is a wasteful number, since it uses less digits than its factorization.

5753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 5753600 is about 2398.6662960904. Note that the first 3 decimals coincide. The cubic root of 5753600 is about 179.1897740763.

The spelling of 5753600 in words is "five million, seven hundred fifty-three thousand, six hundred".