8590401 has 16 divisors (see below), whose sum is σ = 13072000. Its totient is φ = 5571504.

The previous prime is 8590391. The next prime is 8590427. The reversal of 8590401 is 1040958.

It is not a de Polignac number, because 8590401 - 2⁷ = 8590273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8590471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3301 + ... + 5298.

It is an arithmetic number, because the mean of its divisors is an integer number (817000).

Almost surely, 2^8590401 is an apocalyptic number.

It is an amenable number.

8590401 is a deficient number, since it is larger than the sum of its proper divisors (4481599).

8590401 is a wasteful number, since it uses less digits than its factorization.

8590401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8590401 is about 2930.9385868694. The cubic root of 8590401 is about 204.8037066107.

The spelling of 8590401 in words is "eight million, five hundred ninety thousand, four hundred one".