667661300 has 54 divisors (see below), whose sum is σ = 1489346082. Its totient is φ = 259793280.

The previous prime is 667661249. The next prime is 667661327. The reversal of 667661300 is 3166766.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 25140196 + 642521104 = 5014^2 + 25348^2 .

It is a super-2 number, since 2×667661300² = 891543223035380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134462 + ... + 139338.

It is an arithmetic number, because the mean of its divisors is an integer number (27580483).

Almost surely, 2^667661300 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 667661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744673041).

667661300 is an abundant number, since it is smaller than the sum of its proper divisors (821684782).

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

667661300 is a wasteful number, since it uses less digits than its factorization.

667661300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 667661300 is about 25839.1427876391. The cubic root of 667661300 is about 874.0146949827.

It can be divided in two parts, 6676 and 61300, that added together give a palindrome (67976).

The spelling of 667661300 in words is "six hundred sixty-seven million, six hundred sixty-one thousand, three hundred".