5713680 has 160 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 1230336.

The previous prime is 5713663. The next prime is 5713681. The reversal of 5713680 is 863175.

5713680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5713680² = 65292278284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31831 + ... + 32009.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^5713680 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 5713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

5713680 is an abundant number, since it is smaller than the sum of its proper divisors (15713520).

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

5713680 is a wasteful number, since it uses less digits than its factorization.

5713680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5713680 is about 2390.3305210786. The cubic root of 5713680 is about 178.7743898778.

The spelling of 5713680 in words is "five million, seven hundred thirteen thousand, six hundred eighty".