814680 has 96 divisors (see below), whose sum is σ = 2770560. Its totient is φ = 207360.

The previous prime is 814643. The next prime is 814687. The reversal of 814680 is 86418.

814680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11124 + ... + 11196.

It is an arithmetic number, because the mean of its divisors is an integer number (28860).

2⁸¹⁴⁶⁸⁰ 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 814680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385280).

814680 is an abundant number, since it is smaller than the sum of its proper divisors (1955880).

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

814680 is a wasteful number, since it uses less digits than its factorization.

814680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

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

The square root of 814680 is about 902.5962552548. The cubic root of 814680 is about 93.3961595139.

It can be divided in two parts, 81 and 4680, that added together give a square (4761 = 69²).

The spelling of 814680 in words is "eight hundred fourteen thousand, six hundred eighty".