8666400 has 144 divisors (see below), whose sum is σ = 29623104. Its totient is φ = 2196480.

The previous prime is 8666393. The next prime is 8666417. The reversal of 8666400 is 46668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55122 + ... + 55278.

It is an arithmetic number, because the mean of its divisors is an integer number (205716).

Almost surely, 2^8666400 is an apocalyptic number.

8666400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811552).

8666400 is an abundant number, since it is smaller than the sum of its proper divisors (20956704).

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

8666400 is a wasteful number, since it uses less digits than its factorization.

8666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 8666400 is about 2943.8749973462. The cubic root of 8666400 is about 205.4058981546.

The spelling of 8666400 in words is "eight million, six hundred sixty-six thousand, four hundred".