8187050340 has 216 divisors, whose sum is σ = 29364104952. Its totient is φ = 1840527360.

The previous prime is 8187050303. The next prime is 8187050341. The reversal of 8187050340 is 430507818.

8187050340 is a `hidden beast` number, since 81 + 8 + 70 + 503 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 378146916 + 7808903424 = 19446^2 + 88368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8187050295 and 8187050304.

It is not an unprimeable number, because it can be changed into a prime (8187050341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 530412 + ... + 545628.

Almost surely, 2^8187050340 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 8187050340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14682052476).

8187050340 is an abundant number, since it is smaller than the sum of its proper divisors (21177054612).

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

8187050340 is a wasteful number, since it uses less digits than its factorization.

8187050340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15307 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8187050340 is about 90482.3205935834. The cubic root of 8187050340 is about 2015.4675966791.

The spelling of 8187050340 in words is "eight billion, one hundred eighty-seven million, fifty thousand, three hundred forty".