8406864 has 60 divisors (see below), whose sum is σ = 23857600. Its totient is φ = 2763072.

The previous prime is 8406847. The next prime is 8406901. The reversal of 8406864 is 4686048.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11007 + ... + 11745.

Almost surely, 2^8406864 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 8406864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11928800).

8406864 is an abundant number, since it is smaller than the sum of its proper divisors (15450736).

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

8406864 is a wasteful number, since it uses less digits than its factorization.

8406864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 823 counting only the distinct ones).

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

The square root of 8406864 is about 2899.4592599311. The cubic root of 8406864 is about 203.3346256898.

The spelling of 8406864 in words is "eight million, four hundred six thousand, eight hundred sixty-four".