8038401 has 24 divisors (see below), whose sum is σ = 12585600. Its totient is φ = 4550112.

The previous prime is 8038379. The next prime is 8038409. The reversal of 8038401 is 1048308.

It is not a de Polignac number, because 8038401 - 2¹⁰ = 8037377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8038409) 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, 21720 + ... + 22086.

It is an arithmetic number, because the mean of its divisors is an integer number (524400).

Almost surely, 2^8038401 is an apocalyptic number.

It is an amenable number.

8038401 is a deficient number, since it is larger than the sum of its proper divisors (4547199).

8038401 is a wasteful number, since it uses less digits than its factorization.

8038401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8038401 is about 2835.2073998210. The cubic root of 8038401 is about 200.3194976678.

The spelling of 8038401 in words is "eight million, thirty-eight thousand, four hundred one".