667144296 has 128 divisors (see below), whose sum is σ = 2280902400. Its totient is φ = 175944960.

The previous prime is 667144249. The next prime is 667144297. The reversal of 667144296 is 692441766.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (667144297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2686 + ... + 36626.

It is an arithmetic number, because the mean of its divisors is an integer number (17819550).

Almost surely, 2^667144296 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 667144296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140451200).

667144296 is an abundant number, since it is smaller than the sum of its proper divisors (1613758104).

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

667144296 is a wasteful number, since it uses less digits than its factorization.

667144296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33976 (or 33966 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 667144296 is about 25829.1365709348. The cubic root of 667144296 is about 873.7890387612.

The spelling of 667144296 in words is "six hundred sixty-seven million, one hundred forty-four thousand, two hundred ninety-six".