667042000 has 80 divisors (see below), whose sum is σ = 1622052432. Its totient is φ = 265305600.

The previous prime is 667041989. The next prime is 667042003. The reversal of 667042000 is 240766.

It can be written as a sum of positive squares in 8 ways, for example, as 75968656 + 591073344 = 8716^2 + 24312^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667042003) 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 15 ways as a sum of consecutive naturals, for example, 393154 + ... + 394846.

Almost surely, 2^667042000 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 667042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811026216).

667042000 is an abundant number, since it is smaller than the sum of its proper divisors (955010432).

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

667042000 is a wasteful number, since it uses less digits than its factorization.

667042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 667042000 is about 25827.1562507373. The cubic root of 667042000 is about 873.7443759134.

Adding to 667042000 its reverse (240766), we get a palindrome (667282766).

The spelling of 667042000 in words is "six hundred sixty-seven million, forty-two thousand".