5705840 has 80 divisors (see below), whose sum is σ = 15856128. Its totient is φ = 1867008.

The previous prime is 5705839. The next prime is 5705849. The reversal of 5705840 is 485075.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5705840² = 65113220211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12659 + ... + 13101.

Almost surely, 2^5705840 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 5705840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928064).

5705840 is an abundant number, since it is smaller than the sum of its proper divisors (10150288).

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

5705840 is a wasteful number, since it uses less digits than its factorization.

5705840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 5705840 is about 2388.6900175619. The cubic root of 5705840 is about 178.6925842949.

The spelling of 5705840 in words is "five million, seven hundred five thousand, eight hundred forty".