8864401 has 16 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 6769728.

The previous prime is 8864399. The next prime is 8864411. The reversal of 8864401 is 1044688.

8864401 = 266² + 267² + ... + 356².

It is not a de Polignac number, because 8864401 - 2¹ = 8864399 is a prime.

8864401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8864411) 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, 960 + ... + 4318.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 2^8864401 is an apocalyptic number.

It is an amenable number.

8864401 is a deficient number, since it is larger than the sum of its proper divisors (2425199).

8864401 is a wasteful number, since it uses less digits than its factorization.

8864401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408.

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8864401 is about 2977.3143938792. The cubic root of 8864401 is about 206.9584348697.

The spelling of 8864401 in words is "eight million, eight hundred sixty-four thousand, four hundred one".