8484000 has 192 divisors, whose sum is σ = 32078592. Its totient is φ = 1920000.

The previous prime is 8483977. The next prime is 8484001. The reversal of 8484000 is 4848.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (8484001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83950 + ... + 84050.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

Almost surely, 2^8484000 is an apocalyptic number.

8484000 is a gapful number since it is divisible by the number (80) 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 8484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

8484000 is an abundant number, since it is smaller than the sum of its proper divisors (23594592).

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

8484000 is a wasteful number, since it uses less digits than its factorization.

8484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8484000 is about 2912.7306775601. The cubic root of 8484000 is about 203.9546227407.

Adding to 8484000 its reverse (4848), we get a palindrome (8488848).

The spelling of 8484000 in words is "eight million, four hundred eighty-four thousand".