5833760 has 72 divisors (see below), whose sum is σ = 14689836. Its totient is φ = 2188800.

The previous prime is 5833759. The next prime is 5833769. The reversal of 5833760 is 673385.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5550736 + 283024 = 2356^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 5⁵ + 8 + 3⁸ + 3¹⁰ + 7⁸ + 6³ + 0 .

It is not an unprimeable number, because it can be changed into a prime (5833769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57710 + ... + 57810.

Almost surely, 2^5833760 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 5833760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344918).

5833760 is an abundant number, since it is smaller than the sum of its proper divisors (8856076).

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

5833760 is a wasteful number, since it uses less digits than its factorization.

5833760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5833760 is about 2415.3177844747. The cubic root of 5833760 is about 180.0181051747.

The spelling of 5833760 in words is "five million, eight hundred thirty-three thousand, seven hundred sixty".