668416248 has 96 divisors (see below), whose sum is σ = 1940234400. Its totient is φ = 207339264.

The previous prime is 668416237. The next prime is 668416253. The reversal of 668416248 is 842614866.

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

It is a congruent 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, 55818 + ... + 66726.

It is an arithmetic number, because the mean of its divisors is an integer number (20210775).

Almost surely, 2^668416248 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 668416248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970117200).

668416248 is an abundant number, since it is smaller than the sum of its proper divisors (1271818152).

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

668416248 is a wasteful number, since it uses less digits than its factorization.

668416248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10981 (or 10974 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 668416248 is about 25853.7472719140. The cubic root of 668416248 is about 874.3439972314.

The spelling of 668416248 in words is "six hundred sixty-eight million, four hundred sixteen thousand, two hundred forty-eight".