8382864 has 80 divisors (see below), whose sum is σ = 25216640. Its totient is φ = 2350080.

The previous prime is 8382859. The next prime is 8382877. The reversal of 8382864 is 4682838.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20292 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (315208).

Almost surely, 2^8382864 is an apocalyptic number.

8382864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608320).

8382864 is an abundant number, since it is smaller than the sum of its proper divisors (16833776).

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

8382864 is a wasteful number, since it uses less digits than its factorization.

8382864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 8382864 is about 2895.3175991590. The cubic root of 8382864 is about 203.1409473554.

The spelling of 8382864 in words is "eight million, three hundred eighty-two thousand, eight hundred sixty-four".