5705600 has 48 divisors (see below), whose sum is σ = 14102520. Its totient is φ = 2280960.

The previous prime is 5705599. The next prime is 5705603. The reversal of 5705600 is 65075.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2309 + ... + 4091.

Almost surely, 2^5705600 is an apocalyptic number.

5705600 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 5705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051260).

5705600 is an abundant number, since it is smaller than the sum of its proper divisors (8396920).

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

5705600 is a wasteful number, since it uses less digits than its factorization.

5705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 5705600 is about 2388.6397802934. The cubic root of 5705600 is about 178.6900788606.

The spelling of 5705600 in words is "five million, seven hundred five thousand, six hundred".