868057560 has 320 divisors, whose sum is σ = 3136320000. Its totient is φ = 214679808.

The previous prime is 868057549. The next prime is 868057637. The reversal of 868057560 is 65750868.

868057560 is a `hidden beast` number, since 8 + 6 + 80 + 5 + 7 + 560 = 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 79 ways as a sum of consecutive naturals, for example, 3631921 + ... + 3632159.

It is an arithmetic number, because the mean of its divisors is an integer number (9801000).

Almost surely, 2^868057560 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 868057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568160000).

868057560 is an abundant number, since it is smaller than the sum of its proper divisors (2268262440).

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

868057560 is a wasteful number, since it uses less digits than its factorization.

868057560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 868057560 is about 29462.8165659701. The cubic root of 868057560 is about 953.9292697057.

The spelling of 868057560 in words is "eight hundred sixty-eight million, fifty-seven thousand, five hundred sixty".