667404144 has 240 divisors, whose sum is σ = 2177360640. Its totient is φ = 194100480.

The previous prime is 667404121. The next prime is 667404163. The reversal of 667404144 is 441404766.

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

It is a junction number, because it is equal to n+sod(n) for n = 667404099 and 667404108.

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 47 ways as a sum of consecutive naturals, for example, 3996349 + ... + 3996515.

It is an arithmetic number, because the mean of its divisors is an integer number (9072336).

Almost surely, 2^667404144 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 667404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088680320).

667404144 is an abundant number, since it is smaller than the sum of its proper divisors (1509956496).

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

667404144 is a wasteful number, since it uses less digits than its factorization.

667404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 667404144 is about 25834.1662145307. The cubic root of 667404144 is about 873.9024689259.

The spelling of 667404144 in words is "six hundred sixty-seven million, four hundred four thousand, one hundred forty-four".