668085120 has 96 divisors (see below), whose sum is σ = 2307001320. Its totient is φ = 178154496.

The previous prime is 668085113. The next prime is 668085127. The reversal of 668085120 is 21580866.

It is a happy number.

668085120 is a `hidden beast` number, since 66 + 80 + 8 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (668085113) and next prime (668085127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668085127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52234 + ... + 63753.

Almost surely, 2^668085120 is an apocalyptic number.

668085120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668085120 is an abundant number, since it is smaller than the sum of its proper divisors (1638916200).

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

668085120 is a wasteful number, since it uses less digits than its factorization.

668085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116012 (or 115997 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 668085120 is about 25847.3426100247. The cubic root of 668085120 is about 874.1995924029.

The spelling of 668085120 in words is "six hundred sixty-eight million, eighty-five thousand, one hundred twenty".