5815440 has 120 divisors (see below), whose sum is σ = 20108088. Its totient is φ = 1505280.

The previous prime is 5815423. The next prime is 5815487. The reversal of 5815440 is 445185.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 5089536 = 852^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29422 + ... + 29618.

Almost surely, 2^5815440 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 5815440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10054044).

5815440 is an abundant number, since it is smaller than the sum of its proper divisors (14292648).

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

5815440 is a wasteful number, since it uses less digits than its factorization.

5815440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5815440 is about 2411.5223407632. The cubic root of 5815440 is about 179.8294681189.

The spelling of 5815440 in words is "five million, eight hundred fifteen thousand, four hundred forty".