861010560 has 320 divisors, whose sum is σ = 3259028520. Its totient is φ = 215875584.

The previous prime is 861010559. The next prime is 861010567. The reversal of 861010560 is 65010168.

861010560 is a `hidden beast` number, since 86 + 10 + 10 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 858724416 + 2286144 = 29304^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (861010567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880792 + ... + 881768.

Almost surely, 2^861010560 is an apocalyptic number.

861010560 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 861010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629514260).

861010560 is an abundant number, since it is smaller than the sum of its proper divisors (2398017960).

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

861010560 is a wasteful number, since it uses less digits than its factorization.

861010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 861010560 is about 29342.9814436093. The cubic root of 861010560 is about 951.3408802967.

The spelling of 861010560 in words is "eight hundred sixty-one million, ten thousand, five hundred sixty".