814640 has 40 divisors (see below), whose sum is σ = 2008800. Its totient is φ = 306176.

The previous prime is 814633. The next prime is 814643. The reversal of 814640 is 46418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 814640.

It is not an unprimeable number, because it can be changed into a prime (814643) by changing a digit.

814640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1061 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁸¹⁴⁶⁴⁰ is an apocalyptic number.

814640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004400).

814640 is an abundant number, since it is smaller than the sum of its proper divisors (1194160).

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

814640 is a wasteful number, since it uses less digits than its factorization.

814640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 814640 is about 902.5740966813. The cubic root of 814640 is about 93.3946309352.

The spelling of 814640 in words is "eight hundred fourteen thousand, six hundred forty".