5836320 has 192 divisors, whose sum is σ = 23466240. Its totient is φ = 1327104.

The previous prime is 5836291. The next prime is 5836349. The reversal of 5836320 is 236385.

5836320 is a `hidden beast` number, since 583 + 63 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (5836291) and next prime (5836349).

It is a super-2 number, since 2×5836320² = 68125262284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30144 + ... + 30336.

It is an arithmetic number, because the mean of its divisors is an integer number (122220).

Almost surely, 2^5836320 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 5836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733120).

5836320 is an abundant number, since it is smaller than the sum of its proper divisors (17629920).

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

5836320 is a wasteful number, since it uses less digits than its factorization.

5836320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5836320 is about 2415.8476773174. The cubic root of 5836320 is about 180.0444334750.

Subtracting from 5836320 its product of nonzero digits (4320), we obtain a cube (5832000 = 180³).

It can be divided in two parts, 583 and 6320, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 5836320 in words is "five million, eight hundred thirty-six thousand, three hundred twenty".