667312128 has 224 divisors, whose sum is σ = 2264785920. Its totient is φ = 190218240.

The previous prime is 667312117. The next prime is 667312147. The reversal of 667312128 is 821213766.

It is a tau number, because it is divible by the number of its divisors (224).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 667312092 and 667312101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548073 + ... + 1548503.

Almost surely, 2^667312128 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 667312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132392960).

667312128 is an abundant number, since it is smaller than the sum of its proper divisors (1597473792).

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

667312128 is an equidigital number, since it uses as much as digits as its factorization.

667312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 443 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 667312128 is about 25832.3852557212. The cubic root of 667312128 is about 873.8623050031.

The spelling of 667312128 in words is "six hundred sixty-seven million, three hundred twelve thousand, one hundred twenty-eight".