667296 has 72 divisors (see below), whose sum is σ = 2175264. Its totient is φ = 190080.

The previous prime is 667283. The next prime is 667309. The reversal of 667296 is 692766.

It is an interprime number because it is at equal distance from previous prime (667283) and next prime (667309).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 667296.

It is a congruent number.

It is an unprimeable number.

667296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1851 + ... + 2181.

It is an arithmetic number, because the mean of its divisors is an integer number (30212).

2⁶⁶⁷²⁹⁶ 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 667296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087632).

667296 is an abundant number, since it is smaller than the sum of its proper divisors (1507968).

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

667296 is a wasteful number, since it uses less digits than its factorization.

667296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 667296 is about 816.8818764056. The cubic root of 667296 is about 87.3855264937.

The spelling of 667296 in words is "six hundred sixty-seven thousand, two hundred ninety-six".