5806401 has 16 divisors (see below), whose sum is σ = 8247744. Its totient is φ = 3620864.

The previous prime is 5806397. The next prime is 5806429. The reversal of 5806401 is 1046085.

It is not a de Polignac number, because 5806401 - 2² = 5806397 is a prime.

It is a Curzon number.

5806401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5806441) 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, 12886 + ... + 13328.

It is an arithmetic number, because the mean of its divisors is an integer number (515484).

Almost surely, 2^5806401 is an apocalyptic number.

5806401 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5806401 is a deficient number, since it is larger than the sum of its proper divisors (2441343).

5806401 is a wasteful number, since it uses less digits than its factorization.

5806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5806401 is about 2409.6474845919. The cubic root of 5806401 is about 179.7362495228.

The spelling of 5806401 in words is "five million, eight hundred six thousand, four hundred one".