667052560 has 60 divisors (see below), whose sum is σ = 1567139652. Its totient is φ = 264054784.

The previous prime is 667052549. The next prime is 667052569. The reversal of 667052560 is 65250766.

It can be written as a sum of positive squares in 6 ways, for example, as 385886736 + 281165824 = 19644^2 + 16768^2 .

It is a super-3 number, since 3×667052560³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667052569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021194 + ... + 1021846.

Almost surely, 2^667052560 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 667052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783569826).

667052560 is an abundant number, since it is smaller than the sum of its proper divisors (900087092).

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

667052560 is a wasteful number, since it uses less digits than its factorization.

667052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 667052560 is about 25827.3606859083. The cubic root of 667052560 is about 873.7489866635.

The spelling of 667052560 in words is "six hundred sixty-seven million, fifty-two thousand, five hundred sixty".