8115587640 has 192 divisors, whose sum is σ = 27437155200. Its totient is φ = 2157466752.

The previous prime is 8115587633. The next prime is 8115587657. The reversal of 8115587640 is 467855118.

8115587640 is a `hidden beast` number, since 8 + 1 + 1 + 5 + 587 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3682779 + ... + 3684981.

It is an arithmetic number, because the mean of its divisors is an integer number (142901850).

Almost surely, 2^8115587640 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 8115587640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718577600).

8115587640 is an abundant number, since it is smaller than the sum of its proper divisors (19321567560).

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

8115587640 is a wasteful number, since it uses less digits than its factorization.

8115587640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The square root of 8115587640 is about 90086.5563777415. The cubic root of 8115587640 is about 2009.5862815242.

The spelling of 8115587640 in words is "eight billion, one hundred fifteen million, five hundred eighty-seven thousand, six hundred forty".