667605792 has 144 divisors (see below), whose sum is σ = 2049455520. Its totient is φ = 189729792.

The previous prime is 667605749. The next prime is 667605803. The reversal of 667605792 is 297506766.

667605792 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1632084 + ... + 1632492.

It is an arithmetic number, because the mean of its divisors is an integer number (14232330).

Almost surely, 2^667605792 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 667605792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024727760).

667605792 is an abundant number, since it is smaller than the sum of its proper divisors (1381849728).

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

667605792 is a wasteful number, since it uses less digits than its factorization.

667605792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 667605792 is about 25838.0686584737. The cubic root of 667605792 is about 873.9904730445.

The spelling of 667605792 in words is "six hundred sixty-seven million, six hundred five thousand, seven hundred ninety-two".