668505948 has 96 divisors (see below), whose sum is σ = 1833172992. Its totient is φ = 187492800.

The previous prime is 668505919. The next prime is 668505949. The reversal of 668505948 is 849505866.

It is a super-2 number, since 2×668505948² = 893800405022757408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 668505948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668505949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90565 + ... + 97667.

It is an arithmetic number, because the mean of its divisors is an integer number (19095552).

Almost surely, 2^668505948 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 668505948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916586496).

668505948 is an abundant number, since it is smaller than the sum of its proper divisors (1164667044).

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

668505948 is a wasteful number, since it uses less digits than its factorization.

668505948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 668505948 is about 25855.4819719146. The cubic root of 668505948 is about 874.3831071666.

The spelling of 668505948 in words is "six hundred sixty-eight million, five hundred five thousand, nine hundred forty-eight".