8480000 has 90 divisors (see below), whose sum is σ = 21550914. Its totient is φ = 3328000.

The previous prime is 8479981. The next prime is 8480033. The reversal of 8480000 is 848.

It can be written as a sum of positive squares in 5 ways, for example, as 2408704 + 6071296 = 1552^2 + 2464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159974 + ... + 160026.

Almost surely, 2^8480000 is an apocalyptic number.

8480000 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 8480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775457).

8480000 is an abundant number, since it is smaller than the sum of its proper divisors (13070914).

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

8480000 is an frugal number, since it uses more digits than its factorization.

8480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8480000 is about 2912.0439557122. The cubic root of 8480000 is about 203.9225644844.

Subtracting from 8480000 its product of nonzero digits (256), we obtain a square (8479744 = 2912²).

Adding to 8480000 its reverse (848), we get a palindrome (8480848).

Multiplying 8480000 by its reverse (848), we get a square (7191040000 = 84800²).

8480000 divided by its reverse (848) gives a 4-th power (10000 = 10⁴).

The spelling of 8480000 in words is "eight million, four hundred eighty thousand".