667049320 has 192 divisors, whose sum is σ = 1847456640. Its totient is φ = 212129280.

The previous prime is 667049311. The next prime is 667049323. The reversal of 667049320 is 23940766.

667049320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 667049320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667049323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9955927 + ... + 9955993.

It is an arithmetic number, because the mean of its divisors is an integer number (9622170).

Almost surely, 2^667049320 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 667049320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923728320).

667049320 is an abundant number, since it is smaller than the sum of its proper divisors (1180407320).

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

667049320 is a wasteful number, since it uses less digits than its factorization.

667049320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 667049320 is about 25827.2979616529. The cubic root of 667049320 is about 873.7475720067.

The spelling of 667049320 in words is "six hundred sixty-seven million, forty-nine thousand, three hundred twenty".