6638401 has 16 divisors (see below), whose sum is σ = 8396928. Its totient is φ = 5097600.

The previous prime is 6638393. The next prime is 6638407. The reversal of 6638401 is 1048366.

It is a cyclic number.

It is not a de Polignac number, because 6638401 - 2³ = 6638393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6638401.

It is not an unprimeable number, because it can be changed into a prime (6638407) 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, 5031 + ... + 6211.

It is an arithmetic number, because the mean of its divisors is an integer number (524808).

Almost surely, 2^6638401 is an apocalyptic number.

It is an amenable number.

6638401 is a deficient number, since it is larger than the sum of its proper divisors (1758527).

6638401 is a wasteful number, since it uses less digits than its factorization.

6638401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6638401 is about 2576.5094604911. The cubic root of 6638401 is about 187.9408388617.

The spelling of 6638401 in words is "six million, six hundred thirty-eight thousand, four hundred one".