668133100 has 54 divisors (see below), whose sum is σ = 1528734620. Its totient is φ = 252760320.

The previous prime is 668133077. The next prime is 668133101. The reversal of 668133100 is 1331866.

It is a super-2 number, since 2×668133100² = 892803678631220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (668133101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1126404 + ... + 1126996.

Almost surely, 2^668133100 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 668133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764367310).

668133100 is an abundant number, since it is smaller than the sum of its proper divisors (860601520).

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

668133100 is a wasteful number, since it uses less digits than its factorization.

668133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 668133100 is about 25848.2707351962. The cubic root of 668133100 is about 874.2205194231.

Adding to 668133100 its reverse (1331866), we get a palindrome (669464966).

The spelling of 668133100 in words is "six hundred sixty-eight million, one hundred thirty-three thousand, one hundred".