668036160 has 504 divisors, whose sum is σ = 2656075968. Its totient is φ = 159667200.

The previous prime is 668036123. The next prime is 668036189. The reversal of 668036160 is 61630866.

It is a super-2 number, since 2×668036160² = 892544622135091200, which contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 9408925 + ... + 9408995.

It is an arithmetic number, because the mean of its divisors is an integer number (5269992).

Almost surely, 2^668036160 is an apocalyptic number.

668036160 is a gapful number since it is divisible by the number (60) 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 668036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328037984).

668036160 is an abundant number, since it is smaller than the sum of its proper divisors (1988039808).

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

668036160 is a wasteful number, since it uses less digits than its factorization.

668036160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 668036160 is about 25846.3954933759. The cubic root of 668036160 is about 874.1782369118.

The spelling of 668036160 in words is "six hundred sixty-eight million, thirty-six thousand, one hundred sixty".