5827680 has 192 divisors, whose sum is σ = 21772800. Its totient is φ = 1451520.

The previous prime is 5827643. The next prime is 5827681. The reversal of 5827680 is 867285.

5827680 is a `hidden beast` number, since 582 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82045 + ... + 82115.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^5827680 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 5827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

5827680 is an abundant number, since it is smaller than the sum of its proper divisors (15945120).

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

5827680 is a wasteful number, since it uses less digits than its factorization.

5827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5827680 is about 2414.0588228127. The cubic root of 5827680 is about 179.9555445771.

The spelling of 5827680 in words is "five million, eight hundred twenty-seven thousand, six hundred eighty".