5824160 has 48 divisors (see below), whose sum is σ = 13948200. Its totient is φ = 2297856.

The previous prime is 5824151. The next prime is 5824199. The reversal of 5824160 is 614285.

It can be written as a sum of positive squares in 4 ways, for example, as 4999696 + 824464 = 2236^2 + 908^2 .

It is a super-3 number, since 3×5824160³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14036 + ... + 14444.

Almost surely, 2^5824160 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 5824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6974100).

5824160 is an abundant number, since it is smaller than the sum of its proper divisors (8124040).

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

5824160 is a wasteful number, since it uses less digits than its factorization.

5824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 5824160 is about 2413.3296500893. The cubic root of 5824160 is about 179.9193053935.

The spelling of 5824160 in words is "five million, eight hundred twenty-four thousand, one hundred sixty".