8248968 has 96 divisors (see below), whose sum is σ = 27518400. Its totient is φ = 2173824.

The previous prime is 8248957. The next prime is 8248987. The reversal of 8248968 is 8698428.

It is a happy number.

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

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, 5923 + ... + 7181.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^8248968 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 8248968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200).

8248968 is an abundant number, since it is smaller than the sum of its proper divisors (19269432).

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

8248968 is a wasteful number, since it uses less digits than its factorization.

8248968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1284 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 8248968 is about 2872.1016695096. The cubic root of 8248968 is about 202.0535753066.

It can be divided in two parts, 8248 and 968, that added together give a square (9216 = 96²).

The spelling of 8248968 in words is "eight million, two hundred forty-eight thousand, nine hundred sixty-eight".