5924160 has 252 divisors, whose sum is σ = 23714964. Its totient is φ = 1351680.

The previous prime is 5924159. The next prime is 5924161. The reversal of 5924160 is 614295.

It is an interprime number because it is at equal distance from previous prime (5924159) and next prime (5924161).

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 2509056 = 1848^2 + 1584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5924161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348472 + ... + 348488.

It is an arithmetic number, because the mean of its divisors is an integer number (94107).

Almost surely, 2^5924160 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 5924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11857482).

5924160 is an abundant number, since it is smaller than the sum of its proper divisors (17790804).

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

5924160 is a wasteful number, since it uses less digits than its factorization.

5924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5924160 is about 2433.9597367253. The cubic root of 5924160 is about 180.9431971771.

It can be divided in two parts, 5924 and 160, that added together give a square (6084 = 78²).

The spelling of 5924160 in words is "five million, nine hundred twenty-four thousand, one hundred sixty".