667944144 has 400 divisors, whose sum is σ = 2411202816. Its totient is φ = 174182400.

The previous prime is 667944143. The next prime is 667944149. The reversal of 667944144 is 441449766.

It is a super-2 number, since 2×667944144² = 892298759007785472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 667944144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667944143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9407629 + ... + 9407699.

Almost surely, 2^667944144 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 667944144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205601408).

667944144 is an abundant number, since it is smaller than the sum of its proper divisors (1743258672).

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

667944144 is a wasteful number, since it uses less digits than its factorization.

667944144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 667944144 is about 25844.6153772889. The cubic root of 667944144 is about 874.1380983270.

The spelling of 667944144 in words is "six hundred sixty-seven million, nine hundred forty-four thousand, one hundred forty-four".