8135800 has 48 divisors (see below), whose sum is σ = 19920600. Its totient is φ = 3081600.

The previous prime is 8135797. The next prime is 8135801. The reversal of 8135800 is 85318.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8135801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2730 + ... + 4870.

Almost surely, 2^8135800 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 8135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9960300).

8135800 is an abundant number, since it is smaller than the sum of its proper divisors (11784800).

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

8135800 is a wasteful number, since it uses less digits than its factorization.

8135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 8135800 is about 2852.3323789488. The cubic root of 8135800 is about 201.1253230316.

The spelling of 8135800 in words is "eight million, one hundred thirty-five thousand, eight hundred".