668245248 has 432 divisors, whose sum is σ = 2348801280. Its totient is φ = 186531840.

The previous prime is 668245217. The next prime is 668245309. The reversal of 668245248 is 842542866.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×668245248² = 893103422949163008, which contains 22 as substring.

Its product of digits (737280) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14217961 + ... + 14218007.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^668245248 is an apocalyptic number.

668245248 is a gapful number since it is divisible by the number (68) 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 668245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174400640).

668245248 is an abundant number, since it is smaller than the sum of its proper divisors (1680556032).

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

668245248 is a wasteful number, since it uses less digits than its factorization.

668245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 668245248 is about 25850.4399962554. The cubic root of 668245248 is about 874.2694301355.

The spelling of 668245248 in words is "six hundred sixty-eight million, two hundred forty-five thousand, two hundred forty-eight".