8402814 has 48 divisors (see below), whose sum is σ = 21247200. Its totient is φ = 2399040.

The previous prime is 8402803. The next prime is 8402831. The reversal of 8402814 is 4182048.

8402814 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5494 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (442650).

Almost surely, 2^8402814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8402814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10623600).

8402814 is an abundant number, since it is smaller than the sum of its proper divisors (12844386).

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

8402814 is a wasteful number, since it uses less digits than its factorization.

8402814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8402814 is about 2898.7607697083. The cubic root of 8402814 is about 203.3019683473.

It can be divided in two parts, 8402 and 814, that added together give a square (9216 = 96²).

The spelling of 8402814 in words is "eight million, four hundred two thousand, eight hundred fourteen".