8484864 has 48 divisors (see below), whose sum is σ = 22637160. Its totient is φ = 2826240.

The previous prime is 8484857. The next prime is 8484871. The reversal of 8484864 is 4684848.

It is an interprime number because it is at equal distance from previous prime (8484857) and next prime (8484871).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5454 + ... + 6834.

Almost surely, 2^8484864 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 8484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11318580).

8484864 is an abundant number, since it is smaller than the sum of its proper divisors (14152296).

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

8484864 is a wasteful number, since it uses less digits than its factorization.

8484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1386 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 8484864 is about 2912.8789882177. The cubic root of 8484864 is about 203.9615460006.

It can be divided in two parts, 84 and 84864, that added together give a palindrome (84948).

The spelling of 8484864 in words is "eight million, four hundred eighty-four thousand, eight hundred sixty-four".