5865120 has 72 divisors (see below), whose sum is σ = 20019636. Its totient is φ = 1563648.

The previous prime is 5865103. The next prime is 5865121. The reversal of 5865120 is 215685.

5865120 is a `hidden beast` number, since 5 + 8 + 651 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5363856 + 501264 = 2316^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5865120² = 68799265228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5865121) 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, 597 + ... + 3476.

Almost surely, 2^5865120 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 5865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009818).

5865120 is an abundant number, since it is smaller than the sum of its proper divisors (14154516).

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

5865120 is a wasteful number, since it uses less digits than its factorization.

5865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5865120 is about 2421.8009827399. The cubic root of 5865120 is about 180.3400977445.

The spelling of 5865120 in words is "five million, eight hundred sixty-five thousand, one hundred twenty".