8705661552 has 240 divisors, whose sum is σ = 29994651648. Its totient is φ = 2302248960.

The previous prime is 8705661511. The next prime is 8705661553. The reversal of 8705661552 is 2551665078.

8705661552 is a `hidden beast` number, since 8 + 70 + 566 + 15 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8705661498 and 8705661507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8705661553) 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, 712648 + ... + 724760.

Almost surely, 2^8705661552 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 8705661552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997325824).

8705661552 is an abundant number, since it is smaller than the sum of its proper divisors (21288990096).

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

8705661552 is a wasteful number, since it uses less digits than its factorization.

8705661552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12188 (or 12179 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 8705661552 is about 93304.1346993797. The cubic root of 8705661552 is about 2057.1561562963.

The spelling of 8705661552 in words is "eight billion, seven hundred five million, six hundred sixty-one thousand, five hundred fifty-two".