8488368 has 120 divisors (see below), whose sum is σ = 28413360. Its totient is φ = 2419200.

The previous prime is 8488349. The next prime is 8488379. The reversal of 8488368 is 8638848.

8488368 = 94³ + 95³ + ... + 102³.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20968 + ... + 21368.

It is an arithmetic number, because the mean of its divisors is an integer number (236778).

Almost surely, 2^8488368 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 8488368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14206680).

8488368 is an abundant number, since it is smaller than the sum of its proper divisors (19924992).

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

8488368 is a wasteful number, since it uses less digits than its factorization.

8488368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 8488368 is about 2913.4803929321. The cubic root of 8488368 is about 203.9896188489.

It can be divided in two parts, 848 and 8368, that added together give a square (9216 = 96²).

The spelling of 8488368 in words is "eight million, four hundred eighty-eight thousand, three hundred sixty-eight".