8806401 has 40 divisors (see below), whose sum is σ = 14287680. Its totient is φ = 5388768.

The previous prime is 8806393. The next prime is 8806403. The reversal of 8806401 is 1046088.

It is not a de Polignac number, because 8806401 - 2³ = 8806393 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8806403) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53946 + ... + 54108.

It is an arithmetic number, because the mean of its divisors is an integer number (357192).

It is a Proth number, since it is equal to 1075 ⋅ 2¹³ + 1 and 1075 < 2¹³.

Almost surely, 2^8806401 is an apocalyptic number.

8806401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8806401 is a deficient number, since it is larger than the sum of its proper divisors (5481279).

8806401 is a wasteful number, since it uses less digits than its factorization.

8806401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8806401 is about 2967.5580870473. The cubic root of 8806401 is about 206.5060687244.

The spelling of 8806401 in words is "eight million, eight hundred six thousand, four hundred one".