8561615040 has 336 divisors, whose sum is σ = 32386438656. Its totient is φ = 2058700800.

The previous prime is 8561615011. The next prime is 8561615047. The reversal of 8561615040 is 405161658.

8561615040 is a `hidden beast` number, since 8 + 561 + 6 + 1 + 50 + 40 = 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 = 8561614986 and 8561615004.

It is not an unprimeable number, because it can be changed into a prime (8561615047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4149049 + ... + 4151111.

Almost surely, 2^8561615040 is an apocalyptic number.

8561615040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8561615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193219328).

8561615040 is an abundant number, since it is smaller than the sum of its proper divisors (23824823616).

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

8561615040 is a wasteful number, since it uses less digits than its factorization.

8561615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8561615040 is about 92528.9956716272. The cubic root of 8561615040 is about 2045.7468863561.

Adding to 8561615040 its reverse (405161658), we get a palindrome (8966776698).

The spelling of 8561615040 in words is "eight billion, five hundred sixty-one million, six hundred fifteen thousand, forty".