861442560 has 480 divisors, whose sum is σ = 3396032640. Its totient is φ = 206807040.

The previous prime is 861442553. The next prime is 861442583. The reversal of 861442560 is 65244168.

861442560 is a `hidden beast` number, since 86 + 14 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8363469 + ... + 8363571.

It is an arithmetic number, because the mean of its divisors is an integer number (7075068).

Almost surely, 2^861442560 is an apocalyptic number.

861442560 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 861442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).

861442560 is an abundant number, since it is smaller than the sum of its proper divisors (2534590080).

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

861442560 is a wasteful number, since it uses less digits than its factorization.

861442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 861442560 is about 29350.3417356596. The cubic root of 861442560 is about 951.4999610189.

The spelling of 861442560 in words is "eight hundred sixty-one million, four hundred forty-two thousand, five hundred sixty".