5815160 has 64 divisors (see below), whose sum is σ = 14424480. Its totient is φ = 2096640.

The previous prime is 5815151. The next prime is 5815163. The reversal of 5815160 is 615185.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5815163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27455 + ... + 27665.

Almost surely, 2^5815160 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 5815160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212240).

5815160 is an abundant number, since it is smaller than the sum of its proper divisors (8609320).

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

5815160 is a wasteful number, since it uses less digits than its factorization.

5815160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 5815160 is about 2411.4642854498. The cubic root of 5815160 is about 179.8265819481.

The spelling of 5815160 in words is "five million, eight hundred fifteen thousand, one hundred sixty".