669168000 has 256 divisors, whose sum is σ = 2466360000. Its totient is φ = 178329600.

The previous prime is 669167981. The next prime is 669168007. The reversal of 669168000 is 861966.

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 (669168007) 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 31 ways as a sum of consecutive naturals, for example, 431226 + ... + 432774.

Almost surely, 2^669168000 is an apocalyptic number.

669168000 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 669168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233180000).

669168000 is an abundant number, since it is smaller than the sum of its proper divisors (1797192000).

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

669168000 is a wasteful number, since it uses less digits than its factorization.

669168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 669168000 is about 25868.2817365205. The cubic root of 669168000 is about 874.6716591195.

It can be divided in two parts, 6691 and 68000, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 669168000 in words is "six hundred sixty-nine million, one hundred sixty-eight thousand".