868401 has 20 divisors (see below), whose sum is σ = 1324224. Its totient is φ = 567000.

The previous prime is 868397. The next prime is 868409. The reversal of 868401 is 104868.

It is not a de Polignac number, because 868401 - 2² = 868397 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

868401 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 868401.

It is not an unprimeable number, because it can be changed into a prime (868409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5676 + ... + 5826.

2⁸⁶⁸⁴⁰¹ is an apocalyptic number.

868401 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

868401 is a deficient number, since it is larger than the sum of its proper divisors (455823).

868401 is a wasteful number, since it uses less digits than its factorization.

868401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

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

The square root of 868401 is about 931.8803571275. The cubic root of 868401 is about 95.4055057935.

The spelling of 868401 in words is "eight hundred sixty-eight thousand, four hundred one".