8406684 has 144 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 2217600.

The previous prime is 8406667. The next prime is 8406689. The reversal of 8406684 is 4866048.

8406684 = 11⁴ + 12⁴ + ... + 33⁴.

8406684 is nontrivially palindromic in base 5.

8406684 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8406689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118369 + ... + 118439.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 2^8406684 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 8406684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

8406684 is an abundant number, since it is smaller than the sum of its proper divisors (18010980).

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

8406684 is a wasteful number, since it uses less digits than its factorization.

8406684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8406684 is about 2899.4282194943. The cubic root of 8406684 is about 203.3331744751. Note that the first 3 decimals are identical.

The spelling of 8406684 in words is "eight million, four hundred six thousand, six hundred eighty-four".