5717600 has 72 divisors (see below), whose sum is σ = 15967728. Its totient is φ = 1958400.

The previous prime is 5717599. The next prime is 5717603. The reversal of 5717600 is 67175.

5717600 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

5717600 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5717600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5717603) 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, 5090 + ... + 6110.

It is an arithmetic number, because the mean of its divisors is an integer number (221774).

Almost surely, 2^5717600 is an apocalyptic number.

5717600 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 5717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983864).

5717600 is an abundant number, since it is smaller than the sum of its proper divisors (10250128).

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

5717600 is a wasteful number, since it uses less digits than its factorization.

5717600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 5717600 is about 2391.1503507726. The cubic root of 5717600 is about 178.8152646091.

The spelling of 5717600 in words is "five million, seven hundred seventeen thousand, six hundred".