814040 has 32 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 317952.

The previous prime is 814031. The next prime is 814043. The reversal of 814040 is 40418.

It is a happy number.

It is a super-2 number, since 2×814040² = 1325322243200, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 814040.

It is not an unprimeable number, because it can be changed into a prime (814043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1664 + ... + 2096.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

2⁸¹⁴⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

814040 is an abundant number, since it is smaller than the sum of its proper divisors (1060840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

814040 is a wasteful number, since it uses less digits than its factorization.

814040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 814040 is about 902.2416527738. The cubic root of 814040 is about 93.3716962476.

Adding to 814040 its reverse (40418), we get a palindrome (854458).

The spelling of 814040 in words is "eight hundred fourteen thousand, forty".