5715840 has 128 divisors (see below), whose sum is σ = 19706400. Its totient is φ = 1400832.

The previous prime is 5715839. The next prime is 5715841. The reversal of 5715840 is 485175.

It is an interprime number because it is at equal distance from previous prime (5715839) and next prime (5715841).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5715798 and 5715807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5715841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24846 + ... + 25074.

Almost surely, 2^5715840 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 5715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9853200).

5715840 is an abundant number, since it is smaller than the sum of its proper divisors (13990560).

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

5715840 is a wasteful number, since it uses less digits than its factorization.

5715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 5715840 is about 2390.7822987466. The cubic root of 5715840 is about 178.7969150006.

It can be divided in two parts, 5715 and 840, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 5715840 in words is "five million, seven hundred fifteen thousand, eight hundred forty".