666956160 has 256 divisors, whose sum is σ = 2544696000. Its totient is φ = 164118528.

The previous prime is 666956159. The next prime is 666956167. The reversal of 666956160 is 61659666.

It is a super-3 number, since 3×666956160³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666956167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223156 + ... + 226124.

Almost surely, 2^666956160 is an apocalyptic number.

666956160 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 666956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272348000).

666956160 is an abundant number, since it is smaller than the sum of its proper divisors (1877739840).

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

666956160 is a wasteful number, since it uses less digits than its factorization.

666956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 666956160 is about 25825.4943805535. The cubic root of 666956160 is about 873.7068942981.

The spelling of 666956160 in words is "six hundred sixty-six million, nine hundred fifty-six thousand, one hundred sixty".