5810400 has 144 divisors (see below), whose sum is σ = 21092400. Its totient is φ = 1543680.

The previous prime is 5810383. The next prime is 5810401. The reversal of 5810400 is 40185.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5810401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21466 + ... + 21734.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 2^5810400 is an apocalyptic number.

5810400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546200).

5810400 is an abundant number, since it is smaller than the sum of its proper divisors (15282000).

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

5810400 is a wasteful number, since it uses less digits than its factorization.

5810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5810400 is about 2410.4771311921. The cubic root of 5810400 is about 179.7775028635. Note that the first 3 decimals are identical.

5810400 divided by its product of nonzero digits (160) gives a triangular number (36315 = T₂₆₉).

Adding to 5810400 its reverse (40185), we get a palindrome (5850585).

The spelling of 5810400 in words is "five million, eight hundred ten thousand, four hundred".