8671600 has 120 divisors (see below), whose sum is σ = 25216640. Its totient is φ = 2799360.

The previous prime is 8671589. The next prime is 8671631. The reversal of 8671600 is 61768.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 53119 + ... + 53281.

Almost surely, 2^8671600 is an apocalyptic number.

8671600 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 8671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12608320).

8671600 is an abundant number, since it is smaller than the sum of its proper divisors (16545040).

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

8671600 is a wasteful number, since it uses less digits than its factorization.

8671600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 8671600 is about 2944.7580545777. The cubic root of 8671600 is about 205.4469723843.

The spelling of 8671600 in words is "eight million, six hundred seventy-one thousand, six hundred".