667224160 has 192 divisors, whose sum is σ = 1774047744. Its totient is φ = 235929600.

The previous prime is 667224157. The next prime is 667224169. The reversal of 667224160 is 61422766.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667224169) 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 31 ways as a sum of consecutive naturals, for example, 3457024 + ... + 3457216.

It is an arithmetic number, because the mean of its divisors is an integer number (9239832).

Almost surely, 2^667224160 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 667224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887023872).

667224160 is an abundant number, since it is smaller than the sum of its proper divisors (1106823584).

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

667224160 is a wasteful number, since it uses less digits than its factorization.

667224160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 667224160 is about 25830.6825306650. The cubic root of 667224160 is about 873.8239045335.

The spelling of 667224160 in words is "six hundred sixty-seven million, two hundred twenty-four thousand, one hundred sixty".