8488320 has 64 divisors (see below), whose sum is σ = 27062640. Its totient is φ = 2263040.

The previous prime is 8488301. The next prime is 8488339. The reversal of 8488320 is 238848.

It is an interprime number because it is at equal distance from previous prime (8488301) and next prime (8488339).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×8488320³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291 + ... + 4130.

Almost surely, 2^8488320 is an apocalyptic number.

8488320 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 8488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531320).

8488320 is an abundant number, since it is smaller than the sum of its proper divisors (18574320).

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

8488320 is a wasteful number, since it uses less digits than its factorization.

8488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 8488320 is about 2913.4721553500. The cubic root of 8488320 is about 203.9892343415.

The spelling of 8488320 in words is "eight million, four hundred eighty-eight thousand, three hundred twenty".