8288420 has 48 divisors (see below), whose sum is σ = 20189568. Its totient is φ = 2799360.

The previous prime is 8288419. The next prime is 8288447. The reversal of 8288420 is 248828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9815 + ... + 10625.

It is an arithmetic number, because the mean of its divisors is an integer number (420616).

Almost surely, 2^8288420 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 8288420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094784).

8288420 is an abundant number, since it is smaller than the sum of its proper divisors (11901148).

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

8288420 is a wasteful number, since it uses less digits than its factorization.

8288420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 8288420 is about 2878.9616183617. The cubic root of 8288420 is about 202.3751809152.

The spelling of 8288420 in words is "eight million, two hundred eighty-eight thousand, four hundred twenty".