8402864 has 40 divisors (see below), whose sum is σ = 17350080. Its totient is φ = 3931200.

The previous prime is 8402861. The next prime is 8402917. The reversal of 8402864 is 4682048.

It is a self number, because there is not a number n which added to its sum of digits gives 8402864.

It is not an unprimeable number, because it can be changed into a prime (8402861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39719 + ... + 39929.

It is an arithmetic number, because the mean of its divisors is an integer number (433752).

Almost surely, 2^8402864 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 8402864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675040).

8402864 is an abundant number, since it is smaller than the sum of its proper divisors (8947216).

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

8402864 is a wasteful number, since it uses less digits than its factorization.

8402864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 8402864 is about 2898.7693940705. The cubic root of 8402864 is about 203.3023715883.

The spelling of 8402864 in words is "eight million, four hundred two thousand, eight hundred sixty-four".