8668100 has 108 divisors (see below), whose sum is σ = 23006340. Its totient is φ = 2822400.

The previous prime is 8668081. The next prime is 8668111. The reversal of 8668100 is 18668.

It can be written as a sum of positive squares in 6 ways, for example, as 1517824 + 7150276 = 1232^2 + 2674^2 .

It is a super-2 number, since 2×8668100² = 150271915220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142070 + ... + 142130.

Almost surely, 2^8668100 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 8668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503170).

8668100 is an abundant number, since it is smaller than the sum of its proper divisors (14338240).

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

8668100 is a wasteful number, since it uses less digits than its factorization.

8668100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 8668100 is about 2944.1637182738. The cubic root of 8668100 is about 205.4193280754.

It can be divided in two parts, 86 and 68100, that added together give a palindrome (68186).

The spelling of 8668100 in words is "eight million, six hundred sixty-eight thousand, one hundred".