8135640 has 144 divisors (see below), whose sum is σ = 28342080. Its totient is φ = 2099520.

The previous prime is 8135627. The next prime is 8135641. The reversal of 8135640 is 465318.

8135640 is a `hidden beast` number, since 8 + 13 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8135641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262425 + ... + 262455.

It is an arithmetic number, because the mean of its divisors is an integer number (196820).

Almost surely, 2^8135640 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 8135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171040).

8135640 is an abundant number, since it is smaller than the sum of its proper divisors (20206440).

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

8135640 is an equidigital number, since it uses as much as digits as its factorization.

8135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8135640 is about 2852.3043315888. The cubic root of 8135640 is about 201.1240045682.

It can be divided in two parts, 81 and 35640, that added together give a square (35721 = 189²).

The spelling of 8135640 in words is "eight million, one hundred thirty-five thousand, six hundred forty".