8050617540 has 240 divisors, whose sum is σ = 29795318784. Its totient is φ = 1780704000.

The previous prime is 8050617521. The next prime is 8050617541. The reversal of 8050617540 is 457160508.

8050617540 is a `hidden beast` number, since 8 + 0 + 50 + 61 + 7 + 540 = 666.

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 = 8050617495 and 8050617504.

It is not an unprimeable number, because it can be changed into a prime (8050617541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 340090 + ... + 362990.

Almost surely, 2^8050617540 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 8050617540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897659392).

8050617540 is an abundant number, since it is smaller than the sum of its proper divisors (21744701244).

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

8050617540 is a wasteful number, since it uses less digits than its factorization.

8050617540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22960 (or 22949 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8050617540 is about 89725.2335745079. The cubic root of 8050617540 is about 2004.2092631702.

The spelling of 8050617540 in words is "eight billion, fifty million, six hundred seventeen thousand, five hundred forty".