669384000 has 280 divisors, whose sum is σ = 2478758568. Its totient is φ = 178329600.

The previous prime is 669383989. The next prime is 669384013. The reversal of 669384000 is 483966.

It can be written as a sum of positive squares in 4 ways, for example, as 4981824 + 664402176 = 2232^2 + 25776^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647484 + ... + 648516.

Almost surely, 2^669384000 is an apocalyptic number.

669384000 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 669384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239379284).

669384000 is an abundant number, since it is smaller than the sum of its proper divisors (1809374568).

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

669384000 is a wasteful number, since it uses less digits than its factorization.

669384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1043 counting only the distinct ones).

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

The square root of 669384000 is about 25872.4563967166. The cubic root of 669384000 is about 874.7657604284.

The spelling of 669384000 in words is "six hundred sixty-nine million, three hundred eighty-four thousand".