864801 has 36 divisors (see below), whose sum is σ = 1520532. Its totient is φ = 471744.

The previous prime is 864793. The next prime is 864803. The reversal of 864801 is 108468.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 159201 = 840^2 + 399^2 .

It is not a de Polignac number, because 864801 - 2³ = 864793 is a prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864801.

It is not an unprimeable number, because it can be changed into a prime (864803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16291 + ... + 16343.

It is an arithmetic number, because the mean of its divisors is an integer number (42237).

2⁸⁶⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

864801 is a deficient number, since it is larger than the sum of its proper divisors (655731).

864801 is a wasteful number, since it uses less digits than its factorization.

864801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

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

The square root of 864801 is about 929.9467726704. The cubic root of 864801 is about 95.2734870883.

The spelling of 864801 in words is "eight hundred sixty-four thousand, eight hundred one".