8128480 has 48 divisors (see below), whose sum is σ = 19432224. Its totient is φ = 3212800.

The previous prime is 8128441. The next prime is 8128501. The reversal of 8128480 is 848218.

It is a super-2 number, since 2×8128480² = 132144374220800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15909 + ... + 16411.

It is an arithmetic number, because the mean of its divisors is an integer number (404838).

Almost surely, 2^8128480 is an apocalyptic number.

8128480 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 8128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9716112).

8128480 is an abundant number, since it is smaller than the sum of its proper divisors (11303744).

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

8128480 is a wasteful number, since it uses less digits than its factorization.

8128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 8128480 is about 2851.0489297801. The cubic root of 8128480 is about 201.0649856289.

It can be divided in two parts, 81 and 28480, that added together give a 4-th power (28561 = 13⁴).

The spelling of 8128480 in words is "eight million, one hundred twenty-eight thousand, four hundred eighty".