5806400 has 84 divisors (see below), whose sum is σ = 15118080. Its totient is φ = 2188800.

The previous prime is 5806397. The next prime is 5806429. The reversal of 5806400 is 46085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30305 + ... + 30495.

Almost surely, 2^5806400 is an apocalyptic number.

5806400 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 5806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040).

5806400 is an abundant number, since it is smaller than the sum of its proper divisors (9311680).

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

5806400 is a wasteful number, since it uses less digits than its factorization.

5806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5806400 is about 2409.6472770926. The cubic root of 5806400 is about 179.7362392045.

The spelling of 5806400 in words is "five million, eight hundred six thousand, four hundred".