665006004 has 192 divisors, whose sum is σ = 1982265600. Its totient is φ = 191102976.

The previous prime is 665005997. The next prime is 665006009. The reversal of 665006004 is 400600566.

665006004 is a `hidden beast` number, since 6 + 6 + 50 + 0 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665006009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2587444 + ... + 2587700.

It is an arithmetic number, because the mean of its divisors is an integer number (10324300).

Almost surely, 2^665006004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665006004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991132800).

665006004 is an abundant number, since it is smaller than the sum of its proper divisors (1317259596).

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

665006004 is a wasteful number, since it uses less digits than its factorization.

665006004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 665006004 is about 25787.7103287593. The cubic root of 665006004 is about 872.8545003792.

The spelling of 665006004 in words is "six hundred sixty-five million, six thousand, four".