668117952 has 252 divisors, whose sum is σ = 2124718128. Its totient is φ = 199987200.

The previous prime is 668117887. The next prime is 668117959. The reversal of 668117952 is 259711866.

668117952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (181440) is a multiple of the sum of its prime factors (168).

It is a junction number, because it is equal to n+sod(n) for n = 668117898 and 668117907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668117959) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9410077 + ... + 9410147.

Almost surely, 2^668117952 is an apocalyptic number.

668117952 is a gapful number since it is divisible by the number (62) 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 668117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062359064).

668117952 is an abundant number, since it is smaller than the sum of its proper divisors (1456600176).

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

668117952 is a wasteful number, since it uses less digits than its factorization.

668117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 124 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 668117952 is about 25847.9777158678. The cubic root of 668117952 is about 874.2139125596.

The spelling of 668117952 in words is "six hundred sixty-eight million, one hundred seventeen thousand, nine hundred fifty-two".